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Invariance property of Morse homology on noncompact manifolds
Invariance property of Morse homology noncompact manifolds
2011/2/28
In this article, we focus on the invariance property of Morse homology on noncompact manifolds. We expect to apply outcomes of this article to several types of Floer homology, thus we define Morse hom...
Floer homology and its continuity for non-compact Lagrangian submanifolds
Floer homology non-compact Lagrangian submanifolds
2010/3/1
We give a construction of the Floer homology of the pair of vnon-compact Lagrangian submanifolds, which satisfies natural continuity property under the Hamiltonian isotopy that moves the infinity but ...
On the derived functor analogy in the Cuntz-Quillen framework for cyclic homology
the derived functor analogy the Cuntz-Quillen framework cyclic homology
2010/11/1
Cuntz and Quillen have shown that for algebras over a field $k$ with $char(k)=0$, periodic cyclic homology may be regarded, in some sense, as the derived functor of (non-commutative) de Rham (co-)homo...