Integration of Lie algebroid comorphisms

Autor(es)

Cattaneo, Alberto S. ^[1] ; Dherin, Benoit ^[2] ; Weinstein, Alan ^[2]

Afiliação do(s) autor(es)

^[1] Univ Zurich, Inst Math, CH-8001 Zurich - Switzerland

^[2] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 - USA

• Tipo de documento: Artigo Científico
• Fonte: PORTUGALIAE MATHEMATICA; v. 70, n. 2, p. 113-144, 2013.
• Citações Web of Science: 5

Resumo

We show that the path construction integration of Lie algebroids by Lie groupoids is an actual equivalence from the of integrable Lie algebroids and complete Lie algebroid comorphisms to the of source 1-connected Lie groupoids and Lie groupoid comorphisms. This allows us to construct an actual symplectization functor in Poisson geometry. We include examples to show that the integrability of comorphisms and Poisson maps may not hold in the absence of a completeness assumption. (AU)

• Processo FAPESP: 10/15069-8 - Geometrias monoidais
• Beneficiário: Benoit Richard Umbert Dherin
• Modalidade de apoio: Auxílio à Pesquisa - Jovens Pesquisadores
• Processo FAPESP: 10/19365-0 - Geometrias monoidais
• Beneficiário: Benoit Richard Umbert Dherin
• Modalidade de apoio: Bolsas no Brasil - Jovens Pesquisadores