arXiv subjects

Luka Zwaan

Publications and source records attributed to Luka Zwaan.

2 recordsLinked to original sources

arXiv2025

Duistermaat-Heckman measures for Hamiltonian groupoid actions

Consider a source proper, source connected regular symplectic groupoid acting locally freely and effectively in a Hamiltonian way, and assume that the moment map is proper and has connected fibres. In this case there is an associated Duistermaat-Heckman measure on the quotient orbifold. We show that this measure is polynomial with respect to the natural affine measure.

math.SG↗

arXiv2023

Poisson manifolds of strong compact type over 2-tori

In arXiv1312.7267, the first non-trivial example of a Poisson manifold of strong compact type is given. The construction uses the theory of K3 surfaces and results in a Poisson manifold with leaf space $S^1$. We modify the construction to obtain a new class of examples. Specifically, we obtain for each strongly integral affine 2-torus a Poisson manifold of strong compact type with said torus as leaf space.

math.DG↗