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The K-theoretic Hall Algebra On Surfaces and Categorifications

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Zhao-zy199402-phd-math-2021-thesis.pdf

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Thesis PDF
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Author(s)
Zhao, Yu
Advisor(s)
Negut, Andrei
Date Issued
June 2021
Publisher
Massachusetts Institute of Technology
Abstract
In the thesis, I made a construction of the K-theoretic Hall algebra on smooth algebraic surfaces and proved that it was associative. I also made a naive categorification of the elliptic Hall algebra.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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