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POISSON STRUCTURES ON THE CONIFOLD AND LOCAL CALABI-YAU THREEFOLDS

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Author(s):
Ballico, Edoardo ; Gasparim, Elizabeth ; Koeppe, Thomas ; Suzuki, Bruno
Total Authors: 4
Document type: Journal article
Source: REPORTS ON MATHEMATICAL PHYSICS; v. 90, n. 3, p. 26-pg., 2022-12-01.
Abstract

We describe bivector fields and Poisson structures on local Calabi-Yau threefolds which are total spaces of vector bundles on a contractible rational curve. In particular, we calculate all possible holomorphic Poisson structures on the conifold. (AU)

FAPESP's process: 19/13204-0 - Lefschetz fibrations, Lie groupoids and noncommutative geometry
Grantee:Cristián Andrés Ortiz González
Support Opportunities: Regular Research Grants