Equivariant Schubert Calculus
| dc.creator | Gatto, Letterio | |
| dc.creator | Santiago, Taise | |
| dc.date | 2007-03-15 | |
| dc.date.accessioned | 2026-07-07T07:52:06Z | |
| dc.date.available | 2026-07-07T07:52:06Z | |
| dc.description | Let $T$ be a torus acting on $\CC^n$ in such a way that, for all $1\leq k\leq n$, the induced action on the grassmannian $G(k,n)$ has only isolated fixed points. This paper proposes a natural, elementary, explicit description of the corresponding $T$-equivariant Schubert calculus. In a suitable natural basis of the $T$-equivariant cohomology, seen as a module over the $T$-equivariant cohomology of a point, it is formally the same as the ordinary cohomology of a grassmann bundle. The main result, useful for computational purposes, is that the $T$-equivariant cohomology of $G(k,n)$ can be realized as the quotient of a ring generated by derivations on the exterior algebra of a free module of rank $n$ over the $T$-equivariant cohomology of a point. | |
| dc.description | 15 pages, no figures, part of the doctoral thesis of the second author | |
| dc.identifier | https://arxiv.org/abs/math/0703445 | |
| dc.identifier | http://arxiv.org/abs/math/0703445 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125756 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14N15; 15A75; 14F43 | |
| dc.title | Equivariant Schubert Calculus | |
| dc.type | text |