Intersection forms of toric hyperkähler varieties

T. Hausel, E. Swartz, Proceedings of the American Mathematical Society 134 (2006) 2403–2409.


Journal Article | Published
Author
;
Abstract
This note proves combinatorially that the intersection pairing on the middle-dimensional compactly supported cohomology of a toric hyperkähler variety is always definite, providing a large number of non-trivial L 2 harmonic forms for toric hyperkähler 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 hyperkähler manifolds of linear growth.
Publishing Year
Date Published
2006-08-01
Journal Title
Proceedings of the American Mathematical Society
Acknowledgement
The first author was partly supported by NSF grant DMS-0072675. The second author was partly supported by a VIGRE postdoc under NSF grant number 9983660 to Cornell University.
Volume
134
Issue
8
Page
2403 - 2409
IST-REx-ID

Cite this

Hausel T, Swartz E. Intersection forms of toric hyperkähler varieties. Proceedings of the American Mathematical Society. 2006;134(8):2403-2409. doi:10.1090/S0002-9939-06-08248-7
Hausel, T., & Swartz, E. (2006). Intersection forms of toric hyperkähler varieties. Proceedings of the American Mathematical Society, 134(8), 2403–2409. https://doi.org/10.1090/S0002-9939-06-08248-7
Hausel, Tamas, and Edward Swartz. “Intersection Forms of Toric Hyperkähler Varieties.” Proceedings of the American Mathematical Society 134, no. 8 (2006): 2403–9. https://doi.org/10.1090/S0002-9939-06-08248-7.
T. Hausel and E. Swartz, “Intersection forms of toric hyperkähler varieties,” Proceedings of the American Mathematical Society, vol. 134, no. 8, pp. 2403–2409, 2006.
Hausel T, Swartz E. 2006. Intersection forms of toric hyperkähler varieties. Proceedings of the American Mathematical Society. 134(8), 2403–2409.
Hausel, Tamas, and Edward Swartz. “Intersection Forms of Toric Hyperkähler Varieties.” Proceedings of the American Mathematical Society, vol. 134, no. 8, American Mathematical Society, 2006, pp. 2403–09, doi:10.1090/S0002-9939-06-08248-7.

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