Cornered Heegaard Floer Homology
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Author | : Christopher L Douglas |
Publisher | : American Mathematical Soc. |
Total Pages | : 111 |
Release | : 2020-02-13 |
Genre | : Education |
ISBN | : 1470437716 |
Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Heegaard Floer homology of a closed 3-manifold, split into two pieces, can be recovered as a tensor product of the bordered invariants of the pieces. The authors construct cornered Floer homology invariants of 3-manifolds with codimension-2 corners and prove that the bordered Floer homology of a 3-manifold with boundary, split into two pieces with corners, can be recovered as a tensor product of the cornered invariants of the pieces.
Author | : Robert Lipshitz |
Publisher | : American Mathematical Soc. |
Total Pages | : 294 |
Release | : 2018-08-09 |
Genre | : Mathematics |
ISBN | : 1470428881 |
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.
Author | : İlknur Eğilmez |
Publisher | : |
Total Pages | : 274 |
Release | : 2012 |
Genre | : Homology theory |
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Author | : Faramarz Vafaee |
Publisher | : |
Total Pages | : 65 |
Release | : 2014 |
Genre | : Electronic dissertations |
ISBN | : 9781321119053 |
Author | : John Arthur Baldwin |
Publisher | : |
Total Pages | : 214 |
Release | : 2008 |
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Author | : Sridhar Rajagopalan |
Publisher | : |
Total Pages | : 80 |
Release | : 2007 |
Genre | : Differential topology |
ISBN | : |
Author | : Raif Rustamov |
Publisher | : |
Total Pages | : 142 |
Release | : 2005 |
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Author | : Adam Simon Levine |
Publisher | : |
Total Pages | : 264 |
Release | : 2010 |
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Author | : Lawrence Pierce Roberts |
Publisher | : |
Total Pages | : 484 |
Release | : 2004 |
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Author | : Bijan Sahamie |
Publisher | : |
Total Pages | : 151 |
Release | : 2009 |
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