Quot schemes for flags and Gromov invariants for flag varieties

Abstract

Using Quot schemes and a localization theorem we study Gromov-Witten invariants for partial flag varieties. The strategy is to extend A. Bertram's result of Gromov-Witten invariants for special Schubert varieties of Grassmannians to the case of partial flag varieties. To do so a Grothendieck's Quot scheme is generalized for flags and proven to be an irreducible, rational, smooth, projective variety following Strømme \cite{St}.

arXiv comment16 pages, wrtten by latex 209, compile twice

Cited by in corpus (3)

• GLSM's for partial flag manifolds
• The tautological rings of the moduli spaces of stable maps
• Quantum Grothendieck polynomials