Bordered Heegaard Floer Homology and Four-manifolds with Corners
Download or Read eBook Bordered Heegaard Floer Homology and Four-manifolds with Corners PDF written by Tova Helen Fell Brown and published by . This book was released on 2011 with total page 55 pages. Available in PDF, EPUB and Kindle.
Author | : Tova Helen Fell Brown |
Publisher | : |
Total Pages | : 55 |
Release | : 2011 |
ISBN-10 | : OCLC:767739514 |
ISBN-13 | : |
Rating | : 4/5 (14 Downloads) |
Book Synopsis Bordered Heegaard Floer Homology and Four-manifolds with Corners by : Tova Helen Fell Brown
Book excerpt: The Heegaard Floer hat invariant is defined on closed 3-manifolds, with a related invariant for 4-dimensional cobordisms, forming a 3+1 topological quantum field theory. Bordered Heegaard Floer homology generalizes this invariant to parametrized Riemann surfaces and to cobordisms between them, yielding a 2+1 TQFT. We discuss an approach to synthesizing these two theories to form a 2+1+1 TQFT, by defining Heegaard Floer invariants for Lefschetz fibrations with corners.