Abstract
We describe T-equivariant Schubert calculus on G(k, n), T being an n-dimensional torus, through derivations on the exterior algebra of a free A-module of rank n, where A is the T-equivariant cohomology of a point. In particular, T-equivariant Pieri’s formulas will be determined, answering a question raised by Lakshmibai, Raghavan and Sankaran (Equivariant Giambelli and determinantal restriction formulas for the Grassmannian, Pure Appl. Math. Quart. 2 (2006), 699–717).
Funding Statement
Work partially sponsored by PRIN “Geometria sulle Varietà Algebriche” (Coordinatore Alessandro Verra), INDAM-GNSAGA, Scuola di Dottorato (ScuDo) del Politecnico di Torino, FAPESB proc. n. 8057/2006 and CNPq proc. n. 350259/2006-2.
Citation
Letterio Gatto. Taíse Santiago. "Equivariant Schubert calculus." Ark. Mat. 48 (1) 41 - 55, April 2010. https://doi.org/10.1007/s11512-009-0093-5
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