Logarithmic trace and orbifold products

Details Logarithmic trace and orbifold products Logarithmic trace and orbifold products

2009-04-29

arxiv.org/abs/0904.4648v2

Duke Math Journal, v.153 no 3 pp427-473, 2010

Mathematics

Algebraic Geometry

39 pages, references and a few remarks added

Scientific paper

We give a purely equivariant construction of orbifold products for quotient Deligne-Mumford stacks [X/G] where G is an arbitrary linear algebraic group (not necessarily finite). The key to our construction is the definition of the "logarithmic trace" of an equivariant vector bundle. We also prove that there is an orbifold Chern character homomorphism which induces an isomorphism of a canonical summand in the orbifold Grothendieck ring with the orbifold Chow ring. As an application we obtain an associative orbifold product on the Grothendieck ring of [X/G] (as opposed to its inerita stack) taken with complex coefficients.

Affiliated with

Also associated with

No associations

Rating

Logarithmic trace and orbifold products 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 Logarithmic trace and orbifold products, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Logarithmic trace and orbifold products will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-512707