Archivio Istituzionale della RicercaWe describe T -equivariant Schubert calculus on G(k, n), T being an n-dimensio- nal 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 are determined, answering a question raised by Lakshmibai, Raghavan and Sankaran (Equivariant Gi- ambelli and determinantal restriction formulas for the Grassmannian, Pure Appl. Math. Quart. 2 (2006), 699–717).
Equivariant Schubert Calculus / Gatto, Letterio; Santiago, T.. - In: ARKIV FÖR MATEMATIK. - ISSN 0004-2080. - 48:(2010), pp. 41-55. [10.1007/s11512-009-0093-5]
Equivariant Schubert Calculus
GATTO, Letterio;
2010
Abstract
We describe T -equivariant Schubert calculus on G(k, n), T being an n-dimensio- nal 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 are determined, answering a question raised by Lakshmibai, Raghavan and Sankaran (Equivariant Gi- ambelli and determinantal restriction formulas for the Grassmannian, Pure Appl. Math. Quart. 2 (2006), 699–717).
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https://hdl.handle.net/11583/1845540
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