Heat kernels on forms defined on a subgraph of a complete graph

Yong Lin Renmin University of China and Fujian Normal University, China Sze-Man Ngai Georgia Southern University and Hunan Normal University Shing-Tung Yau Harvard University

Publications of CMSA of Harvard mathscidoc:1809.38001

We study the heat kernel expansion of the Laplacian on n-forms defined on a subgraph of a directed complete graph. We derive two expressions for the subgraph heat kernel on 0-forms and compute the coefficients of the expansion. We also obtain the subgraph heat kernel of the Laplacian on 1-forms.
Laplacian; heat kernel; n-forms; complete graph
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@inproceedings{yongheat,
  title={Heat kernels on forms defined on a subgraph of a complete graph},
  author={Yong Lin, Sze-Man Ngai, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180930062525751824158},
}
Yong Lin, Sze-Man Ngai, and Shing-Tung Yau. Heat kernels on forms defined on a subgraph of a complete graph. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180930062525751824158.
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