Algebraicity and smoothness of fixed point stacks

M Romagny - arXiv preprint arXiv:2205.11114, 2022 - arxiv.org
We study algebraicity and smoothness of fixed point stacks for flat group schemes which
have a finite composition series whose factors are either reductive or proper, flat, finitely …

Morse theory on Lie groupoids

C Ortiz, F Valencia - Mathematische Zeitschrift, 2024 - Springer
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 …

Shifted coisotropic structures for differentiable stacks

M Mayrand - arXiv preprint arXiv:2312.09214, 2023 - arxiv.org
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 …

Morse theory on Lie groupoids

FV Quintero - 2024 - teses.usp.br
We extend classical Morse theory to the realm of Lie groupoids and their differentiable
stacks. This allows us to obtain both topological and geometrical information of the singular …

Deligne Cohomology for Differentiable Stacks

LA Barbosa Torres, F Neumann - … conference Multidisciplinary Aspects in …, 2022 - Springer
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