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Singular Based Matrices for Virtual 2-Strings
by
David Freund
Harvard University
A singular virtual 2-string α is a wedge of two circles on a closed oriented surface. Up to equivalence by virtual homotopy, α can be realized on a canonical surface Σα. We use the homological intersection pairing on Σα to associate an algebraic object to α called a singular based matrix. In this talk, we show that these objects can be used to distinguish virtual homotopy classes of 2-strings and to compute the virtual Andersen-Mattes-Reshetikhin bracket of families of 2-strings.
Date received: January 4, 2019
Copyright © 2019 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbpq-40.