Mathematical Research Letters

Volume 5, Issue 3, May 1998 pp. 391-402.

Some $IHX$-type relations on trivalent graphs and symplectic representation theory

Authors: Stavros Garoufalidis and Hiroaki Nakamura
Author institution: Brandeis University, and Tokyo Metropolitan University

Summary: We consider two types of graded algebras (with graded actions by the symplectic Lie algebra) that arise in the study of the mapping class group, and describe their symplectic invariants in terms of algebras on trivalent graphs.

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