AbstractIn this paper we prove the Morse inequalities in the non-degenerate and degenerate cases. Like the approach of J.-M. Bismut, ours is based on the idea suggested by Witten. In fact, if anything, our approach is closer to Witten's original idea than Bismut's
In a very broad sense, '"spaces" are the primary objects of study in geometry, and "functions" are t...
This chapter discusses the Morse theory for Hamiltonian systems. The chapter presents the differenti...
We study various topological properties of G-manifolds and G-complexes where G is a finite group. We...
Abstract. Based on Morse homology of Morse functions, we give a new proof of the Morse–Bott inequali...
Based on Morse homology of Morse functions, we give a new proof of the Morse-Bott inequalities for f...
AbstractIn this paper we prove the Morse inequalities in the non-degenerate and degenerate cases. Li...
<正> Morse inequalities for Morse functions under general boundary conditions were initiallystu...
Abstract. The aim of this paper is to provide a proof for a version of the Morse inequalities for ma...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2004.Includes bibliogr...
We describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, withou...
We describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, withou...
In this paper we give an analytic proof of the degenerate Morse inequalities in the spirit of E. Wit...
AbstractWe provide an analytic proof of Morse-type inequalities for vector fields determining a Mors...
In this paper we give an analytic proof of the degenerate Morse inequalities in the spirit of E. Wit...
We provide an analytic proof of Morse-type inequalities for vector fields determining a Morse decomp...
In a very broad sense, '"spaces" are the primary objects of study in geometry, and "functions" are t...
This chapter discusses the Morse theory for Hamiltonian systems. The chapter presents the differenti...
We study various topological properties of G-manifolds and G-complexes where G is a finite group. We...
Abstract. Based on Morse homology of Morse functions, we give a new proof of the Morse–Bott inequali...
Based on Morse homology of Morse functions, we give a new proof of the Morse-Bott inequalities for f...
AbstractIn this paper we prove the Morse inequalities in the non-degenerate and degenerate cases. Li...
<正> Morse inequalities for Morse functions under general boundary conditions were initiallystu...
Abstract. The aim of this paper is to provide a proof for a version of the Morse inequalities for ma...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2004.Includes bibliogr...
We describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, withou...
We describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, withou...
In this paper we give an analytic proof of the degenerate Morse inequalities in the spirit of E. Wit...
AbstractWe provide an analytic proof of Morse-type inequalities for vector fields determining a Mors...
In this paper we give an analytic proof of the degenerate Morse inequalities in the spirit of E. Wit...
We provide an analytic proof of Morse-type inequalities for vector fields determining a Morse decomp...
In a very broad sense, '"spaces" are the primary objects of study in geometry, and "functions" are t...
This chapter discusses the Morse theory for Hamiltonian systems. The chapter presents the differenti...
We study various topological properties of G-manifolds and G-complexes where G is a finite group. We...
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