Mathematics – Geometric Topology
Scientific paper
2010-10-13
Mathematics
Geometric Topology
93 pages, 37 figures
Scientific paper
Bordered Heegaard Floer homology is an invariant for three-manifolds with boundary. In particular, this invariant associates to a handle decomposition of a surface F a differential graded algebra, and to an arc slide between two handle decompositions, a bimodule over the two algebras. In this paper, we describe these bimodules for arc slides explicitly, and then use them to give a combinatorial description of HF^ of a closed three-manifold, as well as the bordered Floer homology of any 3-manifold with boundary.
Lipshitz Robert
Ozsváth Peter S.
Thurston Dylan P.
No associations
LandOfFree
Computing HF^ by factoring mapping classes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Computing HF^ by factoring mapping classes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Computing HF^ by factoring mapping classes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-226081