Sur l'anneau de cohomologie du schéma de Hilbert de ?
By E. Vasserot. 2000
96 citations recorded by the source corpus.
We express the product of the cohomology ring of the Hilbert scheme in terms of the center of the algebra of the symmetric group. We give a conjecture for the case of crepant resolutions of symplectic quotient singularities.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/f4af6d605f5c5051231f15d7c10e83b330faf326
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In Algebra and Number Theory
- A. Okounkov
- Pavel Etingof
- R. Pandharipande
- V. Ginzburg
- Ravi Vakil
- I. Losev
- Ian P. Goulden
- L. Goettsche
In Geometry and Topology
- R. Pandharipande
- A. Okounkov
- Davesh Maulik
- Ravi Vakil
- Barbara Fantechi
- V. Ginzburg
- Pavel Etingof
- Ian P. Goulden
Citations in the corpus
- Orbifold cohomology for global quotients (2001, methodology): “induced by the natural action of Sn. As an H-equivariant vector bundle, TY|1 is isomorphic to the tensor product of T1 (with the trivial H-action) and of V . This implies that F(g, h) = R1 H (E) is isomorphic to T1 W, where W is H1(C,OC V)H .”
- The local Donaldson–Thomas theory of curves (2005, background): “For opposite weights (60), the Hilbert scheme intersections reduce to characters of the symmetric group, see for example [ 34 ].”
- Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism (2000, background): “Thus, Theorem 1.8 would imply the conjecture in [ Va ].”
- Towards the geometry of double Hurwitz numbers (2003, background): “(For a remarkable recent link to the Hilbert scheme of points on a surface, see for example [LQW, p. 2] and [ Va ].) Our intent is to draw similar connections in the case of the double Hurwitz numbers.”
- Quantum Groups and Quantum Cohomology (2012, background): “omial ideal I x i 1 x i 1 2 i1;2;::: PHilb : (17.3) 17.2.3 The following is well-known and is a a consequence of the orthogonality of classes of xed points rI sin cohomology Proposition 17.2.1 ([85, 124, 69]). The map (17.1) sends rI sto J . 17.2.4 Let us polarize HilbA by the Euler class of N . We”