Quasi-homogeneity of the moduli space of stable maps to homogeneous spaces
Time: 2020-10-28
Published By: Kangkang Deng
Speaker(s): Christoph Bärligea
Time: 14:00-15:00 October 30, 2020
Venue: Room 29, Quan Zhai, BICMR
Abstract: Let G be a simply connected, simple linear algebraic group, P a parabolic subgroup and X the quotient of G by P. The moduli space of three pointed genus zero stable maps to X is quasi-homogeneous under the action of the automorphism group of X for all minimal degrees in quantum products. In this talk, we construct a distinguished morphism which gives an open dense orbit. The construction of this morphism is based on orthogonality relations in greedy decompositions of minimal degrees in quantum products.