Bordered Heegaard Floer Homology and Graph Manifolds
We use the techniques of bordered Heegaard Floer homology to investigate the Heegaard Floer homology of graph manifolds. Bordered Heegaard Floer homology allows us to split a graph manifold into pieces and perform computations for each piece separately. The resulting invariants can then be combined by a simple algebraic procedure to recover HFhat. Graph manifolds by definition decompose into pieces which are Są-bundles over surfaces. This decomposition makes them particularly well suited to the divide-and-conquer techniques of bordered Heegaard Floer homology. In fact, the problem reduces to computing bordered Heegaard Floer invariants of just two pieces. The first invariant is the type D trimodule associated to the trivial Są-bundle over the pair of pants
Academic Commons
Hanselman, Jonathan
Author
Lipshitz, Robert
Thesis advisor
Columbia University. Mathematics
Originator
Theses
English
Mathematics
text
2014
eng
2017-06-08T20:14:03Z
2017-06-08T21:54:11Z
Ph.D.
2
Mathematics
Columbia University
10.7916/D8NZ85TF