Arkiv för Matematik

Equivariant Schubert calculus

Letterio Gatto and Taíse Santiago

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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).

Note

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.

Article information

Source
Ark. Mat., Volume 48, Number 1 (2010), 41-55.

Dates
Received: 24 January 2008
First available in Project Euclid: 31 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.afm/1485907102

Digital Object Identifier
doi:10.1007/s11512-009-0093-5

Mathematical Reviews number (MathSciNet)
MR2594585

Zentralblatt MATH identifier
1188.14033

Rights
2009 © Institut Mittag-Leffler

Citation

Gatto, Letterio; Santiago, Taíse. Equivariant Schubert calculus. Ark. Mat. 48 (2010), no. 1, 41--55. doi:10.1007/s11512-009-0093-5. https://projecteuclid.org/euclid.afm/1485907102


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