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University of Pennsylvania
Derived Lie Infinity-Groupoids And Algebroids In Higher Differential Geometry
Abstract
dc:description.abstractWe study various problems arising in higher geometry using derived Lie $\infty$-groupoids and algebroids. We construct homotopical algebras for derived Lie $\infty$-groupoids and algebroids and study their homotopy-coherent representations. Then we apply these tools in studying singular foliations and their characteristic classes. Finally, we prove an A\infty de Rham theorem and higher Riemann-Hilbert correspondence for foliated manifolds.
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Zeng, Qingyun
- Advisor dc:contributor.advisor
-
- Jonathan Block
Rights
dc:rights- Statement dc:rights
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- Qingyun Zeng
- Language dc:language
- en
Identifiers
dc:identifier.*- Repository record dc:identifier.uri
- https://repository.upenn.edu/handle/20.500.14332/31917
- OAI identifier oai:identifier
- oai:repository.upenn.edu:20.500.14332/31917