Add to ORKG27 pages, 12 figuresThe works of Donaldson and Mark make the structure of the Seiberg-Witten invariant of 3-manifolds clear. It corresponds to certain torsion type invariants counting flow lines and closed orbits of a gradient flow of a circle-valued Morse map on a 3-manifold. We study these invariants using the Morse-Novikov theory and Heegaard splitting for sutured manifolds, and make detailed computations for knot complements
The gradient flow of a Morse function on a smooth closed manifold generates, under suitable transver...
The dimensional reduction of Seiberg-Witten theory defines a gauge theory of compact connected three...
Abstract The goal of this paper is to give a new proof of a theorem of Meng and Taubes [9] that iden...
We prove a conjecture of Hutchings and Lee relating the Seiberg{Witten in-variants of a closed 3{man...
Let X be a closed manifold with (X) = 0, and let f: X! S1 be a circle-valued Morse function. We den...
Let X be a closed manifold with (X) = 0, and let f: X! S1 be a circle-valued Morse function. We den...
27 pages, Latex file, revised for publication. To appear in "K-theory"We consider the flows generate...
Any link in a 3-manifold is the closed orbits of a non-singular Morse-Smale flow after taking the sp...
This talk is a report on our long-term project with H. Goda concerning the circle-valued Morse theor...
46 pages, Latex file, revised for publication. To appear in Sankt Petersburg Math. JournalLet $M$ be...
In this note we give a detailed exposition of the Seiberg-Witten invariants for closed oriented 3-ma...
Let M be a closed, oriented, n-dimensional manifold. In this paper we give a Morse theoretic descrip...
This book elaborates on an idea put forward by M. Abouzaid on equipping the Morse cochain complex of...
A Connection Matrix Theory approach is presented for Morse-Bott flows $\varphi$ on smooth closed $n$...
The Seiberg-Witten invariant is a smooth topological invariant of four dimensional manifolds, which ...
The gradient flow of a Morse function on a smooth closed manifold generates, under suitable transver...
The dimensional reduction of Seiberg-Witten theory defines a gauge theory of compact connected three...
Abstract The goal of this paper is to give a new proof of a theorem of Meng and Taubes [9] that iden...
We prove a conjecture of Hutchings and Lee relating the Seiberg{Witten in-variants of a closed 3{man...
Let X be a closed manifold with (X) = 0, and let f: X! S1 be a circle-valued Morse function. We den...
Let X be a closed manifold with (X) = 0, and let f: X! S1 be a circle-valued Morse function. We den...
27 pages, Latex file, revised for publication. To appear in "K-theory"We consider the flows generate...
Any link in a 3-manifold is the closed orbits of a non-singular Morse-Smale flow after taking the sp...
This talk is a report on our long-term project with H. Goda concerning the circle-valued Morse theor...
46 pages, Latex file, revised for publication. To appear in Sankt Petersburg Math. JournalLet $M$ be...
In this note we give a detailed exposition of the Seiberg-Witten invariants for closed oriented 3-ma...
Let M be a closed, oriented, n-dimensional manifold. In this paper we give a Morse theoretic descrip...
This book elaborates on an idea put forward by M. Abouzaid on equipping the Morse cochain complex of...
A Connection Matrix Theory approach is presented for Morse-Bott flows $\varphi$ on smooth closed $n$...
The Seiberg-Witten invariant is a smooth topological invariant of four dimensional manifolds, which ...
The gradient flow of a Morse function on a smooth closed manifold generates, under suitable transver...
The dimensional reduction of Seiberg-Witten theory defines a gauge theory of compact connected three...
Abstract The goal of this paper is to give a new proof of a theorem of Meng and Taubes [9] that iden...