Poisson cohomology: old and new

Autors/ores

  • Pablo Nicolás Martínez Universitat Politècnica de Catalunya

Paraules clau:

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

Resum

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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Publicat

2024-01-26

Com citar

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

Número

Vol. 8 Núm. 1 (2023)

Secció

Extended Abstracts

Llicència

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