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#1Heegaard splitting - Wikipedia
listen)) is a decomposition of a compact oriented 3-manifold that results from dividing it into two handlebodies. Contents. 1 Definitions. 1.1 Generalized ...
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#2Heegaard diagrams and holomorphic disks - MIT Mathematics
its starting point a Heegaard diagram (Σ, α, β) for a three-manifold Y [72]. That is, ... a Heegaard diagram, and if two Heegaard diagrams describe the same ...
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#3An introduction to Heegaard Floer homology
A handlebody of genus 4. group ̂. HF(Y ). This homology is defined with the help of Heegaard diagrams and Lagrangian Floer homology. Variants of ...
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#4Heegaard diagram - Encyclopedia of Mathematics
One of the most common methods for representing a closed orientable three-dimensional manifold. A Heegaard diagram of genus n consists of ...
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#5On Heegaard diagrams of 3-manifolds - Numdam
Clearly, a Heegaard diagram determines the Heegaard decomposition up to homeomorphisms, but there are many different Heegaard diagrams with the same ...
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#6[math/0602232] Heegaard diagrams and Floer homology - arXiv
由 P Ozsvath 著作 · 2006 · 被引用 30 次 — We review the construction of Heegaard Floer homology for closed three-manifolds and also for knots and links in the three-sphere. We also ...
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#7Three-Dimensional Manifolds and Their Heegaard Diagrams
由 J Singer 著作 · 1933 · 被引用 258 次 — We begin then (Part I) by introducing the notions of a canonical region, canonical surface and canonical curve of a manifold. The Heegaard diagram is.
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#8HEEGAARD DIAGRAMS OF 3-MANIFOLDS - American ...
(F ; v , w') gives a Heegaard diagram of the 3-manifold M(L ; it/). Conversely all 3-manifolds obtained by Dehn surgery along L have such. Heegaard diagrams.
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#9Heegaard diagram for the Poincaré sphere. - ResearchGate
Download scientific diagram | Heegaard diagram for the Poincaré sphere. from publication: Flat connections in three-manifolds and classical Chern-Simons ...
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#10Combinatorial Heegaard Floer homology and ... - Science Direct
Heegaard Floer homology is an invariant for 3-manifolds [14], [13], defined using a Heegaard diagram for the 3-manifold.
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#11heegaard floer homology, lectures 1–4 - Math - UT Austin
Heegaard diagrams. We will describe a Heegaard splitting via a Heegaard diagram H, as defined below. Definition 1.12. Let H be a handlebody of genus ...
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#12Heegaard diagrams and handlebody groups - MathSciDoc ...
By a Heegaard diagram on a handlebody we mean the isotopy class of a maximal col- lection of disjoint, pairwise non-isotopic essential simple loops (a ...
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#13Introduction to Heegaard Floer Homology
Heegaard diagrams for three-manifolds ... is called a pointed Heegaard diagram for the three-manifold Y. ... From Heegaard diagrams to Floer homology.
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#14A Two Dimensional Description of Heegaard Splittings A ...
(i) A compact 3-manifold can be decomposed by a Heegaard splitting into two well-understood, homeomorphic manifolds, glued along their bound- ary. (ii) A ...
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#15Elementary invariants of Heegaard diagrams (Ex) - Manifold ...
Let \mathcal{H} = (\Sigma_g, \alpha, \beta) be a Heegaard diagram for the 3-manifold Y . Compute H_1(Y; \Z) in terms of \mathcal{H} .
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#16Heegaard splittings of Brieskorn spheres - MathOverflow
This is a late reply but it should be still helpful. It is from Zoltan Szabó's PCMI lecture notes. Consider the following Heegaard splitting:.
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#17Heegaard Splitting -- from Wolfram MathWorld
A Heegaard splitting of a connected orientable 3-manifold M is any way of expressing M as the union of two (3,1)-handlebodies along their boundaries.
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#18Trying to understand Heegaard diagrams - Math Stack ...
Once the characteristic curves are given on ∂H2, the construction of the 3-manifold is automatic, by the following procedure: For each characteristic curve ...
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#19Heegaard diagrams for closed 4-manifolds
Montesinos Amilibia, José María (1977) Heegaard diagrams for closed 4-manifolds. In Geometric topology. Academic Press, New York, pp.
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#20A Heegaard-diagram of the 3-sphere - Project Euclid
1985 A Heegaard-diagram of the 3-sphere. Mitsuyuki Ochiai · DOWNLOAD PAPER + SAVE TO MY LIBRARY. Osaka J. Math. 22(4): 871-873 (1985). ARTICLE MENU.
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#21An irreducible Heegaard diagram of the real ... - Hindawi
We give a genus 3 Heegaard diagram H of the real projective space p 3 , which has no waves and pairs of complementary handles.
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#22Mathematical Research Letters 4, 365–373 (1997) ON ...
more detailed study of 3-manifolds from the Heegaard diagram and the curve complex point of view. As a consequence of the theorem and corollary 1, one.
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#23Decorated Heegaard Diagrams and ... - NASA/ADS
Heegaard Floer homology is a collection of invariants for closed oriented three-manifolds, introduced by Ozsvath and Szabo in 2001.
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#24Dotted links, Heegaard diagrams, and colored graphs for PL 4 ...
In particular, it is possible to obtain a crystallization of a closed 4-manifold M4 starting from a Heegaard diagram (#m(S1 x S2),ω) and the algorithmicity ...
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#25heegaard floer homology, double points and nice diagrams
ularly nice form for grid diagrams: while the original Heegaard. Floer differential counts “empty” rectangles in the grid diagram,.
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#26an irreducible heegaard diagram of the real projective 3 ...
So Negami's result that every genus 2. Heegaard diagram of P3 is reducible cannot be extended to Heegaard diagrams of P3 with genus 3. Keywords and phrases.
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#27Heegaard splittings of 3-manifolds - UCSB Math
called a Heegaard splitting surface. Two Heegaard splittings of a closed 3-manifold. M are equivalent if their Heegaard splitting surfaces are isotopic in ...
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#28Heegaard Diagram Latest Research Papers | ScienceGate
For a Heegaard splitting of a [Formula: see text]-manifold, Casson–Gordon's ... simply rectangle condition, is a condition on its Heegaard diagram that ...
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#29Heegaard splittings of graph manifolds | SpringerLink
A Heegaard splitting of a closed orientable 3-manifold M is a decomposition of M as a union of two handlebodies sharing a common boundary.
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#30A COMPUTATION OF KNOT FLOER HOMOLOGY OF ...
obtain the Heegaard diagram for some special (1,1)-knots, and prove that torus knots and ... Z. Szab´o in [6], using methods of Heegaard diagrams and moduli.
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#31A Combinatorial Description of the U2=0 Version of Heegaard ...
We show that every 3-manifold admits a Heegaard diagram in which a truncated version of Heegaard Floer homology (when the holomorphic disks pass through the ...
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#32Strong Heegaard diagrams and strong L–spaces
certain type of Heegaard diagram that is particularly simple from the perspective of. Heegaard Floer homology. We provide evidence for the ...
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#33Heegaard diagrams and applications - UBC Open Collections
First, we investigate Heegaard diagrams of closed 3-manifolds and introduce the circle and chord presentation for a connected, closed 3-manifold. The ...
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#34heegaard diagrams and surgery descriptions for twisted face ...
We give a simple algorithmic construction of a Heegaard diagram for an arbitrary twisted face-pairing 3-manifold. One family of meridian curves.
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#35On Three-Manifold Constructions and Contact Structures.
Example 1 (Heegaard diagrams of S3). In this example, we show that S3 has a Heegaard splitting into handlebodies of arbitrary genus. We've seen that the sphere ...
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#36[PDF] Two questions on Heegaard diagrams of S3. - Semantic ...
Let (M, F; v, w) be a Heegaard diagram of M. The complexity of this diagram is the number of points in v n m. This is also the length of the ...
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#37Grid diagrams in Heegaard Floer theory - Stanford University
A marked Heegaard diagram for S1 × S2. then show that the Heegaard Floer invariants (modulo 2) of 3- and 4-manifolds are algorithmically computable, by ...
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#383D Topological Models and Heegaard Splitting II - Archive ...
In Paper I [F. Thuillier, “3D topological models and Heegaard splitting I: Partition function,” J. Math. Phys. 60, 32 (2019)], a construction of the smooth ...
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#39Math 273 Lecture 24
A Heegaard splitting of Y is a decomposition Y = Hα ∪ Hβ, where Hα and Hβ are handlebodies joined along their common boundary Σ = ∂Hα = ∂Hβ.
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#40Meeting 2.2: More on Heegaard diagrams, knots and knot ...
Video thumbnail for Meeting 2.2: More on Heegaard diagrams, knots and knot equivalence. 0:00. Off Air. / 1:15:15. University of Illinois.
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#41waldhausen's theorem - University of Warwick
This note is an exposition of Waldhausen's proof of. Waldhausen's Theorem: the three-sphere has a single Heegaard splitting, up to isotopy, in every genus.
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#42complexity, heegaard diagrams and generalized dunwoody ...
We deal with Matveev complexity of compact orientable 3-manifolds represented via Heegaard diagrams. This lead us to the definition of ...
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#43a gentle introduction to bordered heegaard floer homology
This is certainly not the same as F[U1]⊕2. 3. Slicing planar grid diagrams. Fix a planar grid diagram H = (R2,X,O). The goal of this paper ...
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#44A formula for the Θ-invariant from Heegaard diagrams - Institut ...
and we use these “Morse propagators”, constructed with Greg Kuperberg, to prove a combinatorial formula for the Θ-invariant in terms of Heegaard diagrams.
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#45Instanton Floer homology, sutures, and Heegaard diagrams
Instanton Floer homology, sutures, and Heegaard diagrams. 15 Oct 2020 · Zhenkun Li, Fan Ye · Edit social preview. This paper establishes a new technique ...
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#46Tour of bordered Floer theory | PNAS
A Heegaard splitting along an orientable surface Σ of genus g can be represented by a Heegaard diagram: a pair of g tuples of pairwise disjoint, ...
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#47Electronic Thesis/Dissertation | Decorated Heegaard ...
Decorated Heegaard Diagrams and Combinatorial Heegaard Floer Homology Open ... of a chain complex coming from a Heegaard diagram of the three manifold.
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#48an algorithm for recognizing s in 3-manifolds with heegaard ...
Every Heegaard diagram of genus two of the 3-sphere. S3, other than the canonical one, alway contains at least one reducible part.
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#49CIRGET Heegaard Floer seminar
Our goal was to introduce Heegaard Floer homology for 3-manifolds, knots and links, ... Thursday 8th October: Nima continued, Heegaard diagrams of knot ...
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#50Heegaard splitting - Wikiwand
In the mathematical field of geometric topology, a Heegaard splitting ) is a decomposition of a compact oriented 3-manifold that results from dividing it ...
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#51Heegaard splitting - Wiktionary
EnglishEdit. EtymologyEdit. Introduced by Poul Heegaard in 1898. NounEdit · Heegaard splitting (plural Heegaard splittings).
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#52Sutured instanton homology and Heegaard diagrams.pdf
Suppose H is an admissible Heegaard diagram for a balanced sutured manifold. (M,γ). We prove that the number of generators of the associated sutured Heegaard ...
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#53the classification of heegaard splittings for - UC Davis ...
Section 3 shows that any Heegaard splitting of (compact orientable surface) * S' is obtained by amalgamating Heegaard splittings of (annulus) *S',. (thrice ...
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#54An algorithm for computing some Heegaard Floer homologies
The Heegaard Floer homology of a closed oriented three-manifold Y is defined from a pointed Heegaard diagram representing Y .
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#55Branched covers and Heegaard Floer Homology - Low ...
It describes a construction that produces a Heegaard diagram for a given 3-manifold that is simple enough that the floer homology can be ...
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#56Introduction to the basics of Heegaard Floer homology
Heegaard diagrams are omnipresent in low-dimensional topology. ... Given a closed oriented 3-manifold Y , we fix a Heegaard diagram (Σ, α, β).
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#57On Stability of Heegaard Splittings - Fengchun Lei - UNL Math
university-logo-udel. Heegaard splitting. Def: A Heegaard splitting of a 3-manifold M is a pair of compression bodies V and W such that.
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#59Heegaard - Mathematical software - swMATH
Heegaard: The program can construct a Heegaard diagram from a group presentation, if the presentation is realizable, and use geometric T-transformations to ...
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#60HEEGAARD DOCUMENTATION
problems in order to recover Heegaard diagrams of the 3-manifolds ... Note that, if D is a Heegaard diagram with genus greater than one, and D realizes a.
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#61Best 1 Definitions of Heegaard-splitting - YourDictionary
What does heegaard-splitting mean? The decomposition of a 3-manifold as two handlebodies unioned along their boundaries. (noun)
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#6216-announcement-heegaard.pdf
curve graph can be used to define a complexity of a Heegaard splitting, and how this complexity interacts with the geometry and topology of the manifold.
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#63an algorithm to determine the heegaard genus of simple 3 ...
Additionally, we show that if the generalised Heegaard splitting is given, say, as a subcomplex of a triangulation of the 3-manifold, then the resulting ...
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#64Heegaard splitting and surgery of 3-manifolds - National ...
The PI plans to study the topology of 3-manifolds, especially Heegaard splitting of 3-manifolds, using methods of amalgamation, surgery, branched surface ...
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#65Bordered Heegaard Floer Homology - 第 45 頁 - Google 圖書結果
Just as closed 3-manifolds can be represented by Heegaard diagrams, bordered 3-manifolds can be described by a suitable type of Heegaard diagrams, ...
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#66Cornered Heegaard Floer Homology - 第 71 頁 - Google 圖書結果
Cornered Heegaard diagrams The cornered 2-modules will be associated to cornered ... Recall that a bordered Heegaard diagram consists of a surface Σ of some ...
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#67Differential Manifolds - 第 139 頁 - Google 圖書結果
Such a system of curves is called the Heegaard diagram of M. Since there is a unique way of attaching a 2-handle along a curve the Heegaard diagram ...
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#68Casson's invariant for Heegaard splittings - De Gruyter
Let Σ be a homology sphere, M\ Up M2 a Heegaard splitting of Σ, and Fq = F \ D2. We have the following commutative diagram of inclusions.
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#69Heegaard splittings and Knots on the Torus - Ishan Levy's ...
These circles give a way of drawing the Heegaard splitting, called a Heegaard diagram. A way to draw a Heegaard diagram other than directly on a genus \(g\) ...
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#70Topology and Combinatorics of 3-Manifolds
Then we say that D, is the Heegaard diagram obtained by sliding D over the recurrent arc r. Notice that a slide over a recurrent arc reduces the complexity ...
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