By studying spaces of flow graphs in a closed oriented manifold, we equip the Morse complex with the operations of an open topological conformal field theory. This complements previous constructions due to R. Cohen et al., K. Costello, K. Fukaya and M. Kontsevich and is also the Morse theoretic counterpart to a conjectural construction of operations on the chain complex of the Lagrangian Floer homology of the zero section of a cotangent bundle, obtained by studying uncompactified moduli spaces of higher genus pseudoholomorphic curves
ABSTRACT. In the first half of the paper we construct a Morse-type theory on certain spaces of braid...
Appendix by Umberto HryniewiczThis is a survey paper on Morse theory and the existence problem for c...
In this article, we use Conley Index Theory to set up a framework to associate topological-dynamical...
Morse homology were developed during the rst half of the twentieth century. The underlying idea and...
In [J. Topol. Anal. 6 (2014), 305–338], we have developed a homology theory (Morse–Conley–Floer homo...
dam, the Netherlands. Abstract. In [13] a homology theory –Morse-Conley-Floer homology – for isolate...
The gradient flow of a Morse function on a smooth closed manifold generates, under suitable transver...
In the first half of the paper we construct a Morse-type theory on certain spaces of braid diagrams....
This book elaborates on an idea put forward by M. Abouzaid on equipping the Morse cochain complex of...
Morse homology studies the topology of smooth manifolds by examining the critical points of a real-v...
Morse homology studies the topology of smooth manifolds by examining the critical points of a real-v...
46 pages, Latex file, revised for publication. To appear in Sankt Petersburg Math. JournalLet $M$ be...
In this expository paper we discuss a project regarding the string topology of a manifold, that was ...
Let M be a closed, oriented, n-dimensional manifold. In this paper we give a Morse theoretic descrip...
Let f: M → R be a Morse function on an oriented compact Riemannian manifold M. Morse theory studies ...
ABSTRACT. In the first half of the paper we construct a Morse-type theory on certain spaces of braid...
Appendix by Umberto HryniewiczThis is a survey paper on Morse theory and the existence problem for c...
In this article, we use Conley Index Theory to set up a framework to associate topological-dynamical...
Morse homology were developed during the rst half of the twentieth century. The underlying idea and...
In [J. Topol. Anal. 6 (2014), 305–338], we have developed a homology theory (Morse–Conley–Floer homo...
dam, the Netherlands. Abstract. In [13] a homology theory –Morse-Conley-Floer homology – for isolate...
The gradient flow of a Morse function on a smooth closed manifold generates, under suitable transver...
In the first half of the paper we construct a Morse-type theory on certain spaces of braid diagrams....
This book elaborates on an idea put forward by M. Abouzaid on equipping the Morse cochain complex of...
Morse homology studies the topology of smooth manifolds by examining the critical points of a real-v...
Morse homology studies the topology of smooth manifolds by examining the critical points of a real-v...
46 pages, Latex file, revised for publication. To appear in Sankt Petersburg Math. JournalLet $M$ be...
In this expository paper we discuss a project regarding the string topology of a manifold, that was ...
Let M be a closed, oriented, n-dimensional manifold. In this paper we give a Morse theoretic descrip...
Let f: M → R be a Morse function on an oriented compact Riemannian manifold M. Morse theory studies ...
ABSTRACT. In the first half of the paper we construct a Morse-type theory on certain spaces of braid...
Appendix by Umberto HryniewiczThis is a survey paper on Morse theory and the existence problem for c...
In this article, we use Conley Index Theory to set up a framework to associate topological-dynamical...