Аннотация
We propose a new geometric model for the center of the small quantum group
using the cohomology of certain affine Springer fibers. More precisely, we
establish an isomorphism between the equivariant cohomology of affine
Spaltenstein fibers for a split element and the center of the deformed graded
modules for the small quantum group. We also obtain an embedding from the
invariant part of the nonequivariant cohomology under the action of the
extended affine Weyl group to the invariant part of the center of the small
quantum group under Langlands dual group action, which we conjecture to be an
isomorphism. Finally, we give a dimension formula for the invariants on the
cohomology side, thus providing a lower bound for the dimension of the center.
Пользователи данного ресурса
Пожалуйста,
войдите в систему, чтобы принять участие в дискуссии (добавить собственные рецензию, или комментарий)