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Massachusetts Institute of Technology
The K-theoretic Hall Algebra On Surfaces and Categorifications
Abstract
dc:description.abstractIn 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.
Degree
thesis:*- Name thesis:degree_name
- Doctoral
- Department dc:contributor.department
- Massachusetts Institute of Technology. Department of Mathematics
- Grantor dc:publisher
- Massachusetts Institute of Technology
- Year dc:date.issued
- 2021
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Zhao, Yu
- Advisor dc:contributor.advisor
-
- Negut, Andrei
Rights
dc:rights- Statement dc:rights
-
- In Copyright - Educational Use Permitted
- Copyright MIT
- Licence dc:rights.uri
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- https://hdl.handle.net/1721.1/138953
- OAI identifier oai:identifier
- oai:dspace.mit.edu:1721.1/138953