Inertial Chow rings and a new asymptotic product

For any toric Deligne-Mumford stack X and equivariant vector bundle V , we can define an two associative inertial products. We give a ring presentation for the inertial Chow ring of X under each of these products and compute these rings in the toric case. In particular, we make explicit distinctions between the contributions of the inertia of X and of the products themselves. We further show the existence of a new associative product on the inertia of X in which the rank of V asymptotically approaches infinity, and we compute its Chow ring.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

Doctoral

Discipline thesis:degree_discipline

Mathematics (MU)

Grantor dc:publisher

University of Missouri--Columbia

Year dc:date.issued

2016

Author dc:creator

• Coleman, Thomas, 1988-

Advisor dc:contributor.advisor

• Edidin, Dan

Statement dc:rights

• OpenAccess.

Language dc:language.iso

eng, English

DOI

https://doi.org/10.32469/10355/56464

OAI identifier oai:identifier

oai:mospace.umsystem.edu:10355/56464