Bordered Heegaard Floer Homology and four-manifolds with corners
Name
767739514-MIT.pdf
Description
Full printable version
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2.15 MB
Format
Adobe PDF
Checksum (MD5)
fc0713f26c97a131b8a54494091074eb
Author(s)
Brown, Tova Helen Fell
Advisor(s)
Denis Auroux.
Date Issued
2011
Publisher
Massachusetts Institute of Technology
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).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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