Pushing forward matrix factorisations

Details Pushing forward matrix factorisations Pushing forward matrix factorisations

2011-02-15

arxiv.org/abs/1102.2957v1

Mathematics

Algebraic Geometry

43 pages, comments welcome

Scientific paper

We describe the pushforward of a matrix factorisation along a ring morphism in terms of an idempotent defined using relative Atiyah classes, and use this construction to study the convolution of kernels defining integral functors between categories of matrix factorisations. We give an elementary proof of a formula for the Chern character of the convolution generalising the Hirzebruch-Riemann-Roch formula of Polishchuk and Vaintrob.

Affiliated with

Also associated with

No associations

Rating

Pushing forward matrix factorisations 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 Pushing forward matrix factorisations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pushing forward matrix factorisations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-377819