2 citations · 4 across the 3 of their papers we have counts for
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math.GT2009★ 2 cited
Mapping Class Factorization via Fatgraph Nielsen Reduction
Alex James Bene
The mapping class group of a genus surface with one boundary component is known to have a simple yet infinite presentation with generators given by elementary moves c…
math.GT2007★ 1 cited
Groupoid Extensions of Mapping Class Representations for Bordered Surfaces
Jorgen Ellegaard Andersen, Alex James Bene, R. C. Penner
The mapping class group of a surface with one boundary component admits numerous interesting representations including as a group of automorphisms of a free group and as a group of…
math.GT2006★ 1 cited
Combinatorial Classes, Hyperelliptic Loci, and Hodge Integrals
Alex James Bene
A closed formula is obtained for the integral of tautological classes over the locus of hyperelliptic Weierstraß points in the moduli sp…