The relative Riemann-Roch theorem from Hochschild homology
AC Ramadoss - arXiv preprint math/0603127, 2006 - arxiv.org
arXiv preprint math/0603127, 2006•arxiv.org
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 …
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 …
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].
arxiv.org
以上显示的是最相近的搜索结果。 查看全部搜索结果