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Cusp form motives in the cohomology of the space of stable maps to BG
motives cohomology of the space stable maps
2011/1/19
The moduli space M1,n(B(Z/mZ)2) of twisted stable maps into the stack B(Z/mZ)2 carries a natural Sn-action and so its cohomology may be decomposed into irreducible Sn-representations.
We investigate how Viro’s integral calculus applies for the study of the topology of stable maps. We also discuss several applications to Morin maps and complex maps.