L-infinity spaces and derived loop spaces

Ryan Grady; Owen Gwilliam

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arXiv · 1404.5426

L-infinity spaces and derived loop spaces

Ryan Grady·Owen Gwilliam

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Abstract

We develop further the approach to derived differential geometry introduced in Costello's work on the Witten genus. In particular, we introduce several new examples of L-infinity spaces, discuss vector bundles and shifted symplectic structures on L-infinity spaces, and examine in some detail the example of derived loop spaces. This paper is background for a companion paper, in which we define a quantum field theory on a derived stack, building upon Costello's definition of an effective field theory.

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Ryan Grady, Owen Gwilliam. 2015-04-21. L-infinity spaces and derived loop spaces. https://arxiv.org/abs/1404.5426

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