Quantum cohomology of the Hilbert scheme of points in the plane

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dc.creatorOkounkov, A.
dc.creatorPandharipande, R.
dc.date2004-11-09
dc.date2008-04-15
dc.date.accessioned2026-07-07T09:32:31Z
dc.date.available2026-07-07T09:32:31Z
dc.descriptionWe determine the ring structure of the equivariant quantum cohomology of the Hilbert scheme of points in the complex plane. The operator of quantum multiplication by the divisor class is a nonstationary deformation of the quantum Calogero-Sutherland many-body system. A relationship between the quantum cohomology of the Hilbert scheme and the Gromov-Witten/Donaldson-Thomas correspondence for local curves is proven.
dc.descriptionRevised version. Results related to Jack symmetric functions moved to an upcoming paper
dc.identifierhttps://arxiv.org/abs/math/0411210
dc.identifierhttp://arxiv.org/abs/math/0411210
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158805
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.titleQuantum cohomology of the Hilbert scheme of points in the plane
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