Joint Los Angeles Topology Seminar

Combinatorial tangle Floer homology

Ina Petkova, G. C. Evans Intructor, Mathematics, Rice University,

In joint work with Vera Vertesi, we extend the functoriality in Heegaard Floer homology by defining a Heegaard Floer invariant for tangles which satisfies a nice gluing formula. We will discuss the construction of this combinatorial invariant for tangles in S^3, D^3, and I x S^2. The special case of S^3 gives back a stabilized version of knot Floer homology.

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For more information, please contact Yi Ni by email at [email protected] or visit http://www.math.ucla.edu/~cm/latop.html.