Bordered Heegaard Floer Homology and four-manifolds with corners

Author(s)
Brown, Tova Helen Fell
Thumbnail
DownloadFull printable version (2.147Mb)
Other Contributors
Massachusetts Institute of Technology. Dept. of Mathematics.
Advisor
Denis Auroux.
Terms of use
M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582
Metadata
Show full item record
Abstract
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.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011.
 
Cataloged from PDF version of thesis.
 
Includes bibliographical references (p. 55).
 
Date issued
2011
URI
http://hdl.handle.net/1721.1/67786
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Massachusetts Institute of Technology
Keywords
Mathematics.
Collections