Intersection forms of toric hyperkaehler varieties

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

This note proves combinatorially that the intersection pairing on the middle dimensional compactly supported cohomology of a smooth toric hyperkaehler variety is always definite, providing a large number of non-trivial L^2 harmonic forms for toric hyperkaehler metrics on these varieties. This is motivated by a result of Hitchin about the definiteness of the pairing of L^2 harmonic forms on complete hyperkaehler manifolds of linear growth.
Latex, 7 pages

Keywords

Algebraic Geometry, Combinatorics, Differential Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/67884

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306369
 http://arxiv.org/abs/math/0306369

Collections

arXiv