arXiv subjects

Michael A. Rose

Publications and source records attributed to Michael A. Rose.

2 recordsLinked to original sources

arXiv2008

A reconstruction theorem for genus zero Gromov-Witten invariants of stacks

We generalize the First Reconstruction Theorem of Kontsevich and Manin in two respects. First, we allow the target space to be a Deligne-Mumford stack. Second, under some convergence assumptions, we show it suffices to check the hypothesis of $H^2$-generation not on the cohomology ring, but on an any quantum ring in the family given by small quantum cohomology.

math.AG↗

arXiv2008

Frobenius action on l-adic Chen-Ruan cohomology

We extend the definition of the Chen-Ruan cohomology ring to smooth, proper, tame, Deligne-Mumford stacks over fields of positive characteristic and prove that a modified version of the Frobenius action preserves the product.

math.AG↗