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Download or read book Bordered Heegaard Floer Homology and Four-manifolds with Corners 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. 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.