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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 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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#3[1603.08154] Tori and Heegaard splittings - arXiv
由 A Thompson 著作 · 2016 · 被引用 1 次 — ... intersects the Heegaard surface in a single simple closed curve. ... to intersect a strongly irreducible Heegaard splitting surface F in ...
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#4HEEGAARD SPLITTINGS AND SPLITTING HOMOMORPHISMS
HEEGAARD SPLITTINGS AND. SPLITTING HOMOMORPHISMS. BY. WILLIAM JACOO. 1. Introduction. Let M be a closed, orientable three-manifold and suppose.
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#5(PDF) The space of Heegaard Splittings - ResearchGate
Its path components are the isotopy classes of Heegaard splittings equivalent to (M,F). ... 3-manifold, Heegaard, splitting, elliptic, lens space.
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#6ONE-SIDED HEEGAARD SPLITTINGS OF 3-MANIFOLDS
one-sided surfaces and is analogous to Heegaard splittings. ... in a lens space between a genus 1 Heegaard splitting and an em-.
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#7locally large strongly irreducible Heegaard splittings - EMS ...
By Namazi and Johnson's results, for any distance at least 4 Heegaard splitting, its mapping class group is finite.
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#8Lecture Notes on Generalized Heegaard Splittings - 博客來
書名：Lecture Notes on Generalized Heegaard Splittings，語言：英文，ISBN：9789813109117，頁數：140，作者：Scharlemann, Martin/ Schultens, Jennifer/ Saito, ...
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#9on the classification of heegaard splittings
A Heegaard splitting of a closed orientable 3-manifold M consists of an ordered pair (H0,H1) of handlebodies whose union is M and whose intersection is their.
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#10Lecture Notes on Generalized Heegaard Splittings - World ...
In the standard schematic diagram for generalized Heegaard splittings, Heegaard splittings are stacked on top of each other in a linear fashion.
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#12waldhausen's theorem - University of Warwick
Waldhausen's Theorem [Wal68] tells us that Heegaard splittings of ... It follows that every PL two-sphere gives a Heegaard splitting of S3. Example 2.6.
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#13Lecture Notes on Generalized Heegaard Splittings - Amazon ...
Amazon.com: Lecture Notes on Generalized Heegaard Splittings: 9789813109117: SCHARLEMANN, MARTIN, SCHULTENS, JENNIFER, SAITO, TOSHIO: Books.
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#14Haken spheres for genus two Heegaard splittings
A manifold which admits a reducible genus-2 Heegaard splitting is one of the 3-sphere, S2 × S1, lens spaces or their connected sums.
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#15HEEGAARD SPLITTINGS, THE VIRTUALLY HAKEN ... - People
HEEGAARD SPLITTINGS,. THE VIRTUALLY HAKEN CONJECTURE. AND PROPERTY (τ). MARC LACKENBY. 1. Introduction. The behaviour of finite covers of 3-manifolds is a ...
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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 Splittings of Branched Coverings of $S^3$ - jstor
Poincare conjecture, Heegaard splittings, branched covering spaces, three-manifolds, three-sphere, Smith conjecture, plats, links, closed braids, bridge.
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#18on the equivalence of heegaard splittings of closed, orient ...
ON THE EQUIVALENCE OF HEEGAARD SPLITTINGS OF CLOSED, ORIENT ABLE 3-MANIFOLDS. From the book Knots, Groups and 3-Manifolds (AM-84), Volume 84. Joan S. Birman.
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#19Disk Complexes and Genus Two Heegaard Splittings for ...
Given a genus two Heegaard splitting for a nonprime 3-manifold, we define a special subcomplex of the disk complex for one of the handlebodies of the ...
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#20On the classification of Heegaard splittings - DSpace@MIT
The long-standing classification problem in the theory of Heegaard splittings of 3- manifolds is to exhibit for each closed 3-manifold a complete list, ...
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#21Parallels between Heegaard splittings and trisections of 4 ...
Advisor: Krushkal, Slava, AS-Mathematics, University of Virginia ; Abstract: This dissertation develops the analogies between Heegaard splittings ...
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#22Heegaard splittings of Haken manifolds have bounded distance
Given a Heegaard splitting and an incompressible surface. S and a Heegaard splitting of an irreducible manifold, I shall use a generalization of Haken's ...
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#23On Heegaard diagrams of $3$-manifolds - Numdam
[Bi 2] Birman, J. S. : On the equivalences of Heegaard splittings of closed orientable 3-manifolds. Ann. Math. Studies 84, 137-164 (1975) | Zbl 0337.57002.
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#24the classification of heegaard splittings for - UC Davis ...
The standard Heegaard splittings of (compact orientable surface) x S. A compression body is a 3-manifold W for which there is a closed connected.
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#25Heegaard splittings of graph manifolds - Academia.edu
In particular, S is the amalgamation of strongly irreducible Heegaard splittings. The splitting surfaces Si of these strongly irreducible Heegaard ...
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#26A 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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#27Triangulations and Heegaard splittings - ShareOK
We also use combinatorial methods to study and classify irreducible Heegaard splitting surfaces, up to isotopy, in these two infinite families of Seifert ...
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#2816-announcement-heegaard.pdf
HEEGAARD SPLITTINGS AND THE CURVE GRAPH. A handlebody is the compact 3–manifold V obtained as the regular neighborhood of a graph in R3.
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#29Heegaard splittings of toroidal 3-manifolds - The University of ...
This dissertation is an investigation into the Stabilization Problem for Heegaard splittings of toroidal 3-manifolds. In several situations we obtain upper ...
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#30Heegaard splitting - Wiktionary
EnglishEdit. EtymologyEdit. Introduced by Poul Heegaard in 1898. NounEdit · Heegaard splitting (plural Heegaard splittings).
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#313-Manifolds Conference at Rice University
Abstracts. The structure of high distance Heegaard splittings, Jesse Johnson (Oklahoma State University). The notion of distance for a Heegaard splitting of ...
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#32Lots and lots of Heegaard splittings | Low Dimensional Topology
We can use this to construct Heegaard splittings for knots from any bridge surface. For example, if S is a sphere and K is n ...
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#33The Goeritz groups of Heegaard splittings for 3-manifolds
admit Heegaard splittings of each genus $g\geq 1$ (see [3]). Given a Heegaard splitting ofa 3-manifold, the Goeritz group ofthe splitting is the group.
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#34COMPARING HEEGAARD SPLITTINGS OF NON-HAKEN 3 ...
COMPARING HEEGAARD SPLITTINGS OF NON-HAKEN. 3-MANIFOLDS. HYAM RUBINSTEIN~ and MARTIN SCHARLEMANN*. (Received 4 July 1994; in revisedform 30 July 1995).
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#35Explicit Dehn filling and Heegaard splittings
every genus g Heegaard splitting of the filled manifold is isotopic ... Heegaard splittings of a cusped hyperbolic 3-manifold and the Heegaard.
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#36Heegaard splittings of prime 3-manifolds are not unique
Montesinos Amilibia, José María y González Acuña, Francisco Javier y Birman, Joan S. (1976) Heegaard splittings of prime 3-manifolds are not ...
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#37Heegaard splittings and Morse-Smale flows - Hindawi
We describe three theorems which summarize what survives in three dimensions of Smale's proof of the higher-dimensional Poincaré conjecture.
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#38THE CLASSIFICATION OF HEEGAARD SPLITTINGS FOR ...
This paper gives the classification of Heegaard splittings for (compact orientable surface) x5'. In particular, I prove that the irreducible Heegaard ...
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#39heegaard splittings of sufficiently complicated 3-manifolds i
We construct several families of manifolds that have pairs of genus g Heegaard splittings that must be stabilized roughly g times to become ...
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#40Lecture Notes On Generalized Heegaard Splittings by Martin ...
This book is part of the series of three books arise from lectures organized by Hitoshi Murakami at RIMS, Kyoto University in the summer of 2001. The.
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#41On Stability of Heegaard Splittings - Fengchun Lei - UNL Math
Def: A Heegaard splitting of a 3-manifold M is a pair of compression bodies V and W such that. V ∩ W = ∂+V = ∂+W = F. V ∪ W = M.
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#42Heegaard splittings of graph manifolds
Heegaard splittings of graph manifolds. Miguel Angel Marco Buzunariz. Castellón, 12/12/2017. Before starting. Thank the organizers (applause).
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#43The most symmetric Heegaard splittings - 浙江大学数学科学学院
The most symmetric Heegaard splittings. Date: 2021-07-14 Visitcount : 16. Speaker:Chao Wang (East China Normal University). Date:July 14 Wed.
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#44Manifolds admitting both strongly irreducible and weakly ...
由 T Kobayashi 著作 · 2009 · 被引用 2 次 — weakly reducible minimal genus Heegaard splittings ... Heegaard splitting of an irreducible, non-Haken three-manifold is necessarily.
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#45a lower bound for the genus of self-amalgamation of heegaard ...
References · D. Bachman and R. · K. Du, F. · T. Li, On the Heegaard splittings of amalgamated 3-manifolds, Workshop on Heegaard Splittings, 157-190, Geom. · R. Qiu ...
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#46Almost normal Heegaard splittings - ProQuest
The study of three-manifolds via their Heegaard splittings was initiated by ... A Heegaard splitting of a closed, orientable three manifold M is a closed, ...
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#47Heegaard 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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#48Reducible Heegaard splittings can be written as connected ...
The Heegaard splittings of the connected summands can be constructed as follows. Note that I use our notation for reduciblity.
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#49Heegaard splittings of prime 3-manifolds are not unique
A closed, orientable 3-manifold admits a Heegaard splitting of genus gif ... hibits at least two equivalence classes of Heegaard splittings of genus 2.
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#50heegaard splittings, pants decompositions, - and volumes of ...
Heegaard splittings. Pants decompositions of surfaces. Volumes of hyperbolic 3-manifolds. Or attempt to answer the question: is there life after Perelman?
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#51Heegaard splittings of Graph manifolds 1 Introduction
Heegaard splittings of Graph manifolds. Jennifer Schultens. August 30, 2002. Abstract. Let M be a totally orientable graph manifold with characteristic ...
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#52Heegaard Splittings and Complexity of Fibered Knots
We show that a fibered knot, which has a sufficiently complicated monodromy, induces a minimal genus Heegaard splitting that is unique up to isotopy. Moreover, ...
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#53[Topology and Geometry Seminar] “Heegaard splittings and ...
This week, Dr Dale Koenig (postdoc in the Tsvietkova Unit) will speak on "Heegaard splittings and an introduction to 3-manifold theory".
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#54Heegaard splitting - chemeurope.com
Heegaard splitting In the mathematical field of geometric topology, a Heegaard splitting is a decomposition of a compact oriented 3-manifold that results ...
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#55On the existence of minimal Heegaard splittings - Videos
In the 80s Pitts-Rubinstein conjectured that certain kinds of Heegaard surfaces in three-manifolds can be isotoped to index 1 minimal ...
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#56Lecture Notes On Generalized Heegaard Splittings
The stabilization problem concerns the question of how high the genus of the stabilized Heegaard splittings must be for this isotopy to be achieved.
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#57strongly irreducible heegaard splittings of hyperbolic 3 ...
STRONGLY IRREDUCIBLE HEEGAARD SPLITTINGS OF. HYPERBOLIC 3-MANIFOLDS. TEJAS KALELKAR. Abstract. Colding and Gabai have given an effective version of Li's the ...
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#58Heegaard 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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#59Heegaard splitting - Academic Kids
In mathematics, in the sub-field of geometric topology, a Heegaard splitting is a special structure on a 3-manifold that results from dividing it into two ...
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#60Some Simple Heegaard Splittings | A mathematical melting pot
Three simple Heegaard splittings. Consider picture I, in which we have two balls with blue circles on their boundary.
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#61heegard splittings - Department of Mathematics, IISc
This is the simplest example of a so called. Heegard splitting. We cannot get many manifolds by gluing balls in this manner. Indeed S3 is all we get. Exercise 1 ...
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#62Knots, Groups, and 3-manifolds: Papers Dedicated to the ...
ON THE EQUIVALENCE OF HEEGAARD SPLITTINGS OF CLOSED , ORIENTABLE 3 ... 3 - manifold M is said to be represented by a Heegaard splitting of genus g .
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#63(第1回) Lectures on the Topology of 3-Manifolds / Heegaard ...
内容 - 1.1 Introduction - 1.2 Existence of Heegaard splittings - 1.3 Stable equivalence of Heegaard splittings [セミナー ...
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