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One-dimensional
topological theories with defects and linear generating
functions
Mee Seong Im and Paul Zimmer
Vol. 15 (2022), No. 2, 319–331
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Abstract |
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We study the Gram determinant and construct bases of hom spaces for the one-dimensional topological theory of decorated unoriented one-dimensional cobordisms, as recently defined by Khovanov, when the pair of generating functions is linear. |
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Keywords
topological quantum field theory, cobordism, universal
construction, string diagrams, defects, evaluations, linear
generating functions
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Mathematical Subject Classification
Primary: 18M30
Secondary: 05A15, 57K16
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Milestones
Received: 19 May 2021
Accepted: 16 September 2021
Published: 29 July 2022
Communicated by Józef H. Przytycki
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Authors |
| Mee Seong Im | |
| Department of Mathematics United States Naval Academy Annapolis, MD United States |
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| Paul Zimmer | |
| Department of Mathematics United States Naval Academy Annapolis, MD United States |
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