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Poisson manifolds of strong compact type over 2-tori

Luka Zwaan

Vol. 325 (2023), No. 2, 353–374
Abstract

We construct a new class of examples of Poisson manifolds of strong compact type. In particular, we show that all strongly integral affine circles and two-dimensional tori appear as the leaf space of a Poisson manifold of strong compact type.

Keywords
Poisson geometry, symplectic groupoid, integral affine structure, K3 surface
Mathematical Subject Classification
Primary: 53D17
Milestones
Received: 8 June 2023
Revised: 1 September 2023
Accepted: 3 September 2023
Published: 3 November 2023
Authors
Luka Zwaan
University of Illinois Urbana-Champaign
Urbana, IL
United States

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