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The $\hat{A}$ genus as a projective volu...
Grady, Ryan...
The $\hat{A}$ genus as a projective volume form on the derived loop space by Grady, Ryan ( Author )
Australian National University
27-07-2023
In the present work, we extend our previous work with Gwilliam by realizing $\hat{A}(X)$ as the projective volume form associated to the BV operator in our quanitization of a one-dimensional sigma model. We also discuss the associated integration/expectation map. We work in the formalism of $L_\infty$ spaces, objects of which are computationally convenient presentations for derived stacks. Both smooth and complex geometry embed into $L_\infty$ spaces and we specialize our results in both of these cases.
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Article
pdf
29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1211.6816
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