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19962021
most citedHF=HM I : Heegaard Floer homology and Seiberg--Witten Floer homology

120 citations · 365 across the 14 of their papers we have counts for

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8 papers · 1 filter

math.GT2021

From Seiberg-Witten to Gromov: MCE and Singular Symplectic Forms

Yi-Jen Lee

Motivated by various possible generalizations of Taubes's \(SW=Gr\) theorem [T] to Floer-theoretic setting, we prove certain variants of Taubes's convergence theorem in \cite{T} (t…

math.GT2017

Floer theoretic invariants for 3- and 4-manifolds

Yi-Jen Lee

Seiberg-Witten (Floer) theory, Ozsvath-Szabo's Heegaard Floer theory, Hutchings's embedded contact homology, in different stages of development, define (or are expected to define)…

math.GT2012★ 37 cited

HF=HM V: Seiberg-Witten-Floer homology and handle addition

Cagatay Kutluhan, Yi-Jen Lee, Cliff H. Taubes

This is the last of five papers that construct an isomorphism between the Seiberg-Witten Floer homology and the Heegaard Floer homology of a given compact, oriented 3-manifold.

math.GT2011★ 46 cited

HF=HM IV: The Seiberg-Witten Floer homology and ech correspondence

Cagatay Kutluhan, Yi-Jen Lee, Clifford Henry Taubes

This is the fourth of five papers that construct an isomorphism between the Seiberg-Witten Floer homology and the Heegaard Floer homology of a given compact, oriented 3-manifold. T…

math.GT2010★ 24 cited

HF=HM II: Reeb orbits and holomorphic curves for the ech/Heegaard-Floer correspondence

Cagatay Kutluhan, Yi-Jen Lee, Clifford Henry Taubes

This is the second of five papers that construct an isomorphism between the Seiberg-Witten Floer homology and the Heegaard Floer homology of a given compact, oriented 3-manifold. T…

math.GT2010★ 120 cited

HF=HM I : Heegaard Floer homology and Seiberg--Witten Floer homology

Cagatay Kutluhan, Yi-Jen Lee, Clifford Henry Taubes

Let M be a closed, connected and oriented 3-manifold. This article is the first of a five part series that constructs an isomorphism between the Heegaard Floer homology groups of M…

math.GT2009

Periodic Floer homology and Seiberg-Witten Floer cohomology

Yi-Jen Lee, Clifford Henry Taubes

Various Seiberg-Witten Floer cohomologies are defined for a closed, oriented 3-manifold; and if it is the mapping torus of an area-preserving surface automorphism, it has an associ…

math.GT2004

Heegaard Splittings and Seiberg-Witten monopoles

Yi-Jen Lee

This is an expansion on my talk at the Geometry and Topology conference at McMaster University, May 2004. We outline a program to relate the Heegaard Floer homologies of Ozsvath-Sz…