Bordered Heegaard Floer Homology
Download Bordered Heegaard Floer Homology full books in PDF, epub, and Kindle. Read online free Bordered Heegaard Floer Homology ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Bordered Heegaard Floer Homology
Author | : Robert Lipshitz |
Publisher | : American Mathematical Soc. |
Total Pages | : 294 |
Release | : 2018-08-09 |
Genre | : Mathematics |
ISBN | : 1470428881 |
Download Bordered Heegaard Floer Homology Book in PDF, Epub and Kindle
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.
Bordered Heegaard Floer Homology Related Books
Pages: 294
Pages: 279
Pages:
Pages:
Pages: 111