Stacks

Mestrano, Nicole; Simpson, Carlos

doi:10.1017/9781108854429.012

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Introduction1

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2021

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Cited by 2 publications

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“…This led to the concept of a stack, introduced by Giraud (1971), and ultimately to the higher stacks of Simpson (1996), who was somehow continuing the work of Grothendieck (1983). We refer to Mestrano & Simpson (2021) for a gentle introduction to stacks and higher stacks.…”

Section: Introductionmentioning

confidence: 99%

Derived Stacks in Symplectic Geometry

Calaque¹

2021

New Spaces in Physics

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Derived symplectic geometry studies symplectic structures on derived stacks. Derived stacks are the main players in derived geometry, the purpose of which is to deal with singular spaces, while symplectic structures are an essential ingredient of the geometric formalism of classical mechanics and classical field theory. In addition to providing an overview of a relatively young field of research, we provide a case study on Casson's invariant.

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Section: Introductionmentioning

confidence: 99%