Hoyois, Marc and Jelisiejew, Joachim and Nardin, Denis and Yakerson, Maria (2022) Hermitian K-theory via oriented Gorenstein algebras. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2022 (793). pp. 105-142. ISSN 0075-4102, 1435-5345
Full text not available from this repository. (Request a copy)Abstract
We show that the hermitian K-theory space of a commutative ring R can be identified, up to A(1)-homotopy, with the group completion of the groupoid of oriented finite Gorenstein R-algebras, i.e., finite locally free R-algebras with trivialized dualizing sheaf. We deduce that hermitian K-theory is universal among generalized motivic cohomology theories with transfers along oriented finite Gorenstein morphisms. As an application, we obtain a Hilbert scheme model for hermitian K-theory as a motivic space. We also give an application to computational complexity: we prove that 1-generic minimal border rank tensors degenerate to the big Coppersmith-Winograd tensor.
| Item Type: | Article |
|---|---|
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 08 Feb 2024 08:30 |
| Last Modified: | 08 Feb 2024 08:30 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57411 |
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