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Higher K-theory of forms I. From rings to exact categories
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Schlichting, Marco (2021) Higher K-theory of forms I. From rings to exact categories. Journal of the Institute of Mathematics of Jussieu, 20 (4). pp. 1205-1273. doi:10.1017/S1474748019000410 ISSN 1474-7480.
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Official URL: https://doi.org/10.1017/S1474748019000410
Abstract
We prove the analog for the -theory of forms of the theorem in algebraic -theory. That is, we show that the -theory of forms defined in terms of an -construction is a group completion of the category of quadratic spaces for form categories in which all admissible exact sequences split. This applies for instance to quadratic and hermitian forms defined with respect to a form parameter.
| Item Type: | Journal Article | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Forms (Mathematics) , K-theory | ||||||||
| Journal or Publication Title: | Journal of the Institute of Mathematics of Jussieu | ||||||||
| Publisher: | Cambridge University Press | ||||||||
| ISSN: | 1474-7480 | ||||||||
| Official Date: | July 2021 | ||||||||
| Dates: |
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| Volume: | 20 | ||||||||
| Number: | 4 | ||||||||
| Page Range: | pp. 1205-1273 | ||||||||
| DOI: | 10.1017/S1474748019000410 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Reuse Statement (publisher, data, author rights): | This article has been published in a revised form in Journal of the Institute of Mathematics of Jussieu [http://doi.org/10.1017/S1474748019000410. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © Cambridge University Press 2019 | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Copyright Holders: | © Cambridge University Press 2019 | ||||||||
| Date of first compliant deposit: | 5 July 2019 | ||||||||
| Date of first compliant Open Access: | 2 February 2020 | ||||||||
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