120 citations · 365 across the 14 of their papers we have counts for
15 papers
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…
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)…
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.
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…
HF=HM III: Holomorphic curves and the differential for the ech/Heegaard Floer correspondence
Cagatay Kutluhan, Yi-Jen Lee, Clifford Henry Taubes
This is the third 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. Th…
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…
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…
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…
Reidemeister Torsion in Floer-Novikov Theory and Counting Pseudo-holomorphic Tori, II
Yi-Jen Lee
This is the second part of an article in two parts, which builds the foundation of a Floer-theoretic invariant, I_F. (See math.DG/0111313 for part I). Having constructed I_F and ou…
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…
Non-contractible periodic orbits, Gromov invariants, and Floer-theoretic torsions
Yi-Jen Lee
In a previous paper, the author introduced a Floer-theoretic torsion invariant I_F, which roughly takes the form of a product of a power series counting perturbed pseudo-holomorphi…
Reidemeister torsion in Floer-Novikov theory and counting pseudo-holomorphic tori, I
Yi-Jen Lee
This is the first part of an article in two parts, which builds the foundation of a Floer-theoretic invariant, (I_F). (See math.DG/0505013 for part II). The Floer homology can be t…
Seiberg-Witten Equations on Three-Manifolds with Euclidean Ends
Yi-Jen Lee
We construct the Seiberg-Witten theory on 3-manifolds with Euclidean ends (connected sums of and a compact manifold) with perturbations which approximate at infinity…
Circle-valued Morse theory and Reidemeister torsion
Michael Hutchings, Yi-Jen Lee
Let X be a closed manifold with zero Euler characteristic, and let f: X --> S^1 be a circle-valued Morse function. We define an invariant I which counts closed orbits of the gradie…
Circle-valued Morse theory, Reidemeister torsion, and Seiberg-Witten invariants of 3-manifolds
Michael Hutchings, Yi-Jen Lee
Let X be a compact oriented Riemannian manifold and let be a circle-valued Morse function. Under some mild assumptions on , we prove a formula relating: (a) the num…