2026-09-20T03:19:20Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/677862022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Denis Auroux.
Brown, Tova Helen Fell
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2011-12-19T18:51:20Z
2011-12-19T18:51:20Z
2011
2011
http://hdl.handle.net/1721.1/67786
767739514
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 55).
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.
by Tova Helen Fell Brown.
Ph.D.
55 p.
eng
Massachusetts Institute of Technology
M.I.T. theses are protected by
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Bordered Heegaard Floer Homology and four-manifolds with corners
Thesis
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