Comultiplicativity of the Ozsvath-Szabo contact invariant
| dc.creator | Baldwin, John A. | |
| dc.date | 2007-02-21 | |
| dc.date | 2007-04-10 | |
| dc.date.accessioned | 2026-07-07T07:55:51Z | |
| dc.date.available | 2026-07-07T07:55:51Z | |
| dc.description | Suppose that S is a surface with boundary and that g and h are diffeomorphisms of S which restrict to the identity on the boundary. Let Y_g, Y_h, and Y_{hg} be the three-manifolds with open book decompositions given by (S,g), (S,h), and (S,hg), respectively. We show that the Ozsvath-Szabo contact invariant is natural under a comultiplication map on Heegaard Floer homology. It follows that if the contact invariants associated to the open books (S, g) and (S, h) are non-zero then the contact invariant associated to the open book (S, hg) is also non-zero. We extend this comultiplication to a map on HF^+, and as a result we obtain obstructions to the three-manifold Y_{hg} being an L-space. We also use this to find restrictions on contact structures which are compatible with planar open books. | |
| dc.description | 15 pages, 4 figures. This updated version contains a generalization of the main theorem from before, with consequences relating to the planarity of open books, and Heegaard Floer L-spaces | |
| dc.identifier | https://arxiv.org/abs/math/0702603 | |
| dc.identifier | http://arxiv.org/abs/math/0702603 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127108 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Geometric Topology | |
| dc.title | Comultiplicativity of the Ozsvath-Szabo contact invariant | |
| dc.type | text |