The relative Riemann-Roch theorem from Hochschild homology

Details The relative Riemann-Roch theorem from Hochschild homology The relative Riemann-Roch theorem from Hochschild homology

2006-03-06

arxiv.org/abs/math/0603127v5

New York Journal of Mathematics 14 (2008) 643-717.

Mathematics

Algebraic Geometry

77 pages. Completely rewritten and reorganized. Much more detailed than the previous version

Scientific paper

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].

Affiliated with

Also associated with

No associations

Rating

The relative Riemann-Roch theorem from Hochschild homology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The relative Riemann-Roch theorem from Hochschild homology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The relative Riemann-Roch theorem from Hochschild homology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-44601