Foams, iterated wreath products, field extensions and Sylvester sums
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866909690156285952 |
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| author | Im, Mee Seong Khovanov, Mikhail |
| author_facet | Im, Mee Seong Khovanov, Mikhail |
| contents | Certain foams and relations on them are introduced to interpret functors and natural transformations in categories of representations of iterated wreath products of cyclic groups of order two. We also explain how patched surfaces with defect circles and foams relate to separable field extensions and Galois theory and explore a relation between overlapping foams and Sylvester double sums. In the appendix, joint with Lev Rozansky, we compare traces in two-dimensional TQFTs coming from matrix factorizations with those in field extensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_07845 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Foams, iterated wreath products, field extensions and Sylvester sums Im, Mee Seong Khovanov, Mikhail Quantum Algebra Representation Theory Primary: 57K16, 18M30, 20E22, Secondary: 18N25, 13P15, 57K99, 20C99 Certain foams and relations on them are introduced to interpret functors and natural transformations in categories of representations of iterated wreath products of cyclic groups of order two. We also explain how patched surfaces with defect circles and foams relate to separable field extensions and Galois theory and explore a relation between overlapping foams and Sylvester double sums. In the appendix, joint with Lev Rozansky, we compare traces in two-dimensional TQFTs coming from matrix factorizations with those in field extensions. |
| title | Foams, iterated wreath products, field extensions and Sylvester sums |
| topic | Quantum Algebra Representation Theory Primary: 57K16, 18M30, 20E22, Secondary: 18N25, 13P15, 57K99, 20C99 |
| url | https://arxiv.org/abs/2107.07845 |