The relative Riemann-Roch theorem from Hochschild homology
| dc.creator | Ramadoss, Ajay C. | |
| dc.date | 2006-03-06 | |
| dc.date | 2007-04-06 | |
| dc.date.accessioned | 2026-07-07T10:14:14Z | |
| dc.date.available | 2026-07-07T10:14:14Z | |
| dc.description | This write up attempts to clarify a preprint by Markarian [2] which proves This paper attempts to clarify a preprint of Markarian [2]. The preprint by Markarian [2] proves the relative Riemann-Roch theorem using a result describing how the HKR map fails to respect comultiplication. This paper elaborates on the core computations in [2]. These computations show that the HKR map twisted by the square root of the Todd genus "almost preserves" the Mukai pairing. This settles a part of a conjecture of Caldararu[3]. The relative Riemann-Roch theorem follows from this and a result of Caldararu[4]. | |
| dc.description | 77 pages. Completely rewritten and reorganized. Much more detailed than the previous version | |
| dc.identifier | https://arxiv.org/abs/math/0603127 | |
| dc.identifier | http://arxiv.org/abs/math/0603127 | |
| dc.identifier | New York Journal of Mathematics 14 (2008) 643-717. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172813 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C40, 18G99 | |
| dc.title | The relative Riemann-Roch theorem from Hochschild homology | |
| dc.type | text |