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Finite extinction time for the solutions to the Ricci

by Grisha Perelman , 2008
"... flow on certain three-manifolds ..."
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flow on certain three-manifolds

Holomorphic Disks and Topological Invariants for Closed Three-Manifolds

by Peter Ozsváth, Zoltán Szabó - ANN. OF MATH , 2000
"... The aim of this article is to introduce certain topological invariants for closed, oriented three-manifolds Y, equipped with a Spin c structure t. Given a Heegaard splitting of Y -- U0 tie U1, these theories are variants of the Lagrangian Floer homology for the g-fold symmetric product of Y relat ..."
Abstract - Cited by 274 (37 self) - Add to MetaCart
The aim of this article is to introduce certain topological invariants for closed, oriented three-manifolds Y, equipped with a Spin c structure t. Given a Heegaard splitting of Y -- U0 tie U1, these theories are variants of the Lagrangian Floer homology for the g-fold symmetric product of Y

On the Floer homology of plumbed three-manifolds

by Peter Ozsváth, Zoltán Szabó - Geom. Topol
"... Abstract. We calculate HF + for three-manifolds obtained by plumbings of spheres specified by certain graphs. Our class of graphs is sufficiently large to describe, for example, all Seifert fibered rational homology spheres. These calculations can be used to determine also the Floer homology of othe ..."
Abstract - Cited by 93 (9 self) - Add to MetaCart
Abstract. We calculate HF + for three-manifolds obtained by plumbings of spheres specified by certain graphs. Our class of graphs is sufficiently large to describe, for example, all Seifert fibered rational homology spheres. These calculations can be used to determine also the Floer homology

On the Floer homology of plumbed three-manifolds

by T Tt , 2003
"... We calculate the Heegaard Floer homologies for three-manifolds obtained by plumbings of spheres specied by certain graphs. Our class of graphs is suf-ciently large to describe, for example, all Seifert bered rational homology spheres. These calculations can be used to determine also these groups for ..."
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We calculate the Heegaard Floer homologies for three-manifolds obtained by plumbings of spheres specied by certain graphs. Our class of graphs is suf-ciently large to describe, for example, all Seifert bered rational homology spheres. These calculations can be used to determine also these groups

Three-manifolds, foliations and circles, I

by William P. Thurston , 1997
"... A manifold M slithers around a manifold N when the universal cover of M fibers over N so that deck transformations are bundle automorphisms. Three-manifolds that slither around S 1 are like a hybrid between three-manifolds that fiber over S 1 and certain kinds of Seifert-fibered three-manifolds. Th ..."
Abstract - Cited by 2 (0 self) - Add to MetaCart
A manifold M slithers around a manifold N when the universal cover of M fibers over N so that deck transformations are bundle automorphisms. Three-manifolds that slither around S 1 are like a hybrid between three-manifolds that fiber over S 1 and certain kinds of Seifert-fibered three-manifolds

Conformal boundary conditions and three-dimensional topological field theory

by Giovanni Felder, Jürg Fröhlich, Jürgen Fuchs, Christoph Schweigert , 1999
"... We present a general construction of all correlation functions of a two-dimensional rational conformal field theory, for an arbitrary number of bulk and boundary fields and arbitrary topologies. The correlators are expressed in terms of Wilson graphs in a certain three-manifold, the connecting manif ..."
Abstract - Cited by 54 (18 self) - Add to MetaCart
We present a general construction of all correlation functions of a two-dimensional rational conformal field theory, for an arbitrary number of bulk and boundary fields and arbitrary topologies. The correlators are expressed in terms of Wilson graphs in a certain three-manifold, the connecting

Seifert fibered contact three-manifolds via surgery

by Paolo Lisca, András I. Stipsicz , 2003
"... Using contact surgery we define families of contact structures on certain Seifert fibered three–manifolds. We prove that all these contact structures are tight using Ozsváth–Szabó’s contact invariants. We use these examples to show that, given a natural number n, there exists a Seifert fibered thre ..."
Abstract - Cited by 25 (8 self) - Add to MetaCart
Using contact surgery we define families of contact structures on certain Seifert fibered three–manifolds. We prove that all these contact structures are tight using Ozsváth–Szabó’s contact invariants. We use these examples to show that, given a natural number n, there exists a Seifert fibered

Seifert fibered contact three–manifolds via surgery

by Paolo Lisca, András I. Stipsicz , 2004
"... Using contact surgery we define families of contact structures on certain Seifert fibered three–manifolds. We prove that all these contact structures are tight using contact Ozsváth–Szabó invariants. We use these examples to show that, given a natural number n, there exists a Seifert fibered three– ..."
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Using contact surgery we define families of contact structures on certain Seifert fibered three–manifolds. We prove that all these contact structures are tight using contact Ozsváth–Szabó invariants. We use these examples to show that, given a natural number n, there exists a Seifert fibered three–manifold

TT On the Floer homology of plumbed three-manifolds

by G G G Ggg, T T Tttt, Peter Ozsváth, Zoltán Szabó , 2003
"... We calculate the Heegaard Floer homologies for three-manifolds obtained by plumbings of spheres specified by certain graphs. Our class of graphs is sufficiently large to describe, for example, all Seifert fibered rational homology spheres. These calculations can be used to determine also these group ..."
Abstract - Add to MetaCart
We calculate the Heegaard Floer homologies for three-manifolds obtained by plumbings of spheres specified by certain graphs. Our class of graphs is sufficiently large to describe, for example, all Seifert fibered rational homology spheres. These calculations can be used to determine also

Seifert bered contact three{manifolds via surgery

by Paolo Lisca, Andras I. Stipsicz
"... Abstract Using contact surgery we dene families of contact structures on certain Seifert bered three{manifolds. We prove that all these contact structures are tight using contact Ozsvath{Szabo invariants. We use these examples to show that, given a natural number n, there exists a Seifert bered thre ..."
Abstract - Add to MetaCart
Abstract Using contact surgery we dene families of contact structures on certain Seifert bered three{manifolds. We prove that all these contact structures are tight using contact Ozsvath{Szabo invariants. We use these examples to show that, given a natural number n, there exists a Seifert bered
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