Bordered Heegaard Floer Homology is popular PDF and ePub book, written by Robert Lipshitz in 2018-08-09, it is a fantastic choice for those who relish reading online the Floer homology genre. Let's immerse ourselves in this engaging Floer homology book by exploring the summary and details provided below. Remember, Bordered Heegaard Floer Homology can be Read Online from any device for your convenience.
Bordered Heegaard Floer Homology Book PDF Summary
The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a differential graded algebra. For a three-manifold with parametrized boundary, the invariant comes in two different versions, one of which (type D) is a module over the algebra and the other of which (type A) is an A∞ module. Both are well-defined up to chain homotopy equivalence. For a decomposition of a 3-manifold into two pieces, the A∞ tensor product of the type D module of one piece and the type A module from the other piece is ^HF of the glued manifold. As a special case of the construction, the authors specialize to the case of three-manifolds with torus boundary. This case can be used to give another proof of the surgery exact triangle for ^HF. The authors relate the bordered Floer homology of a three-manifold with torus boundary with the knot Floer homology of a filling.
Detail Book of Bordered Heegaard Floer Homology PDF
- Author : Robert Lipshitz
- Release : 09 August 2018
- Publisher : American Mathematical Soc.
- ISBN : 9781470428884
- Genre : Floer homology
- Total Page : 279 pages
- Language : English
- PDF File Size : 14,5 Mb
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