Betti Tate's thesis and the trace of perverse schobers
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913767120437248 |
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| author | Gammage, Benjamin Hilburn, Justin |
| author_facet | Gammage, Benjamin Hilburn, Justin |
| contents | We propose a conjecture on the categorical trace of the 2-category of perverse schobers (expected to model the Fukaya-Fueter 2-category of a holomorphic symplectic space). By proving a Betti geometric version of Tate's thesis, and combining it with our previous 3d mirror symmetry equivalence and the Ben-Zvi--Nadler--Preygel result on spectral traces, we are able to establish our conjecture in the simplest interesting case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_06548 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Betti Tate's thesis and the trace of perverse schobers Gammage, Benjamin Hilburn, Justin Representation Theory Algebraic Geometry Symplectic Geometry We propose a conjecture on the categorical trace of the 2-category of perverse schobers (expected to model the Fukaya-Fueter 2-category of a holomorphic symplectic space). By proving a Betti geometric version of Tate's thesis, and combining it with our previous 3d mirror symmetry equivalence and the Ben-Zvi--Nadler--Preygel result on spectral traces, we are able to establish our conjecture in the simplest interesting case. |
| title | Betti Tate's thesis and the trace of perverse schobers |
| topic | Representation Theory Algebraic Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2210.06548 |