Poisson cohomology: old and new

Authors

  • Pablo Nicolás Martínez Universitat Politècnica de Catalunya

Keywords:

Poisson cohomology, bm-symplectic geometry, deformation quantization, deformation theory

Abstract

Les varietats de Poisson tenen naturalment associat un complex de cocadenes, la cohomologia del qual es diu cohomologia de Poisson. En aquest treball estenem les tècniques de Guillemin, Miranda i Pires per calcular la cohomologia de Poisson de varietats bm-Poisson. La cohomologia resultant té dimensió infinita i ve parametritzada per la foliació simplèctica del lloc singular Z. El fet que puguem mesurar la diferència entre la cohomologia de Poisson i la cohomologia de l’algebroide subjacent obre una porta a l’estudi de la cohomologia de Poisson de varietats més generals.

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Published

2024-01-26

How to Cite

Nicolás Martínez, P. (2024). Poisson cohomology: old and new. Reports@SCM, 8(1), 61–62. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/151070

Issue

Vol. 8 No. 1 (2023)

Section

Extended abstracts

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