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math.SGJan 28, 2014
16
citations (OpenAlex)
authors
  • Alberto S. Cattaneo
  • Ivan Contreras
institutions
  • University of California, Berkeley
  • University of Zurich
arXiv abstractPDF
paper

Relational symplectic groupoids

arXiv:1401.7319 · doi:10.1007/s11005-015-0760-3

Abstract

This note introduces the construction of relational symplectic groupoids as a way to integrate every Poisson manifold. Examples are provided and the equivalence, in the integrable case, with the usual notion of symplectic groupoid is discussed.

36 pages, 1 figure

Cited by in corpus (10)

  • Perturbative quantum gauge theories on manifolds with boundary
  • Introduction to the BV-BFV formalism
  • Globalization for Perturbative Quantization of Nonlinear Split AKSZ Sigma Models on Manifolds with Boundary
  • On the Globalization of the Poisson Sigma Model in the BV-BFV Formalism
  • Relational Symplectic Groupoid Quantization for Constant Poisson Structures
  • Split Canonical Relations
  • Poly-Poisson Sigma models and their relational poly-symplectic groupoids
  • Poly-symplectic Geometry and the AKSZ Formalism
  • Formal Global Perturbative Quantization of the Rozansky-Witten Model in the BV-BFV Formalism
  • Convolution algebras for Relational Groupoids and Reduction
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