We introduce the concept of m-shifted symplectic Lie n-groupoids and symplectic Morita
equivalences between them. We then build various models for the 2-shifted symplectic …

A singular foliation gives a partition of a manifold into leaves whose dimension may vary.
Associated to a singular foliation are two complexes, that of the diffeological differential …

We give an intrinsic definition of compact toric symplectic stacks, and show that they are
classified by simple convex polytopes equipped with some additional combinatorial data …

A classical result in differential geometry states that for a free and proper Lie group action,
the quotient map to the orbit space induces an isomorphism between the de Rham complex …

arXiv:2205.00417v2 [math.AG] 23 Oct 2022 Page 1 NONRATIONAL POLYTOPES AND FANS
IN TORIC GEOMETRY FIAMMETTA BATTAGLIA AND ELISA PRATO Abstract. First, we …

We study isometric actions of Lie 2-groups on Riemannian groupoids by exhibiting some of
their immediate properties and implications. Firstly, we prove an existence result which …

Novikov-Morse theory Page 1 arXiv:2306.05990v1 [math.DG] 9 Jun 2023 NOVIKOV TYPE
INEQUALITIES FOR ORBIFOLDS FABRICIO VALENCIA Abstract. We show a natural …

Cohomological localization for transverse Lie algebra actions on Riemannian foliations -
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In this paper we introduce Morse Lie groupoid morphisms and study their main properties.
We show that this notion is Morita invariant which gives rise to a well defined notion of Morse …

We introduce a notion of coisotropics on 1-shifted symplectic Lie groupoids (ie quasi-
symplectic groupoids) using twisted Dirac structures and show that it satisfies properties …