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On higher order relations of nested arcs
by
Masahico Saito
University of South Florida
Nested arcs in the upper-half plane, or crossingless matchings, play important roles in Khovanov homology and (1+1)-TQFT. They also correspond to parenthesis structures, thus associativity and associahedron (the Stasheff polytope). In this talk, an analog of the process of constructing the associahedron from associativity is explored for the saddle points (surgery) of nested arcs. Higher order relations thus obtained have similarity to cohomology of Frobenius algebras.
Date received: April 9, 2008
Copyright © 2008 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 # cawt-36.