{"id":{"repo_id":"missouri","oai_identifier":"oai:mospace.umsystem.edu:10355/56464"},"canonical_url":"https://search.dev.ndltd.org/etd/missouri/oai:mospace.umsystem.edu:10355/56464","repository":{"repo_id":"missouri","name":"University of Missouri","base_url":"https://mospace.umsystem.edu/oai/request"},"display":{"title":"Inertial Chow rings and a new asymptotic product","abstract":"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.","abstract_html":"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.","abstract_has_math":false,"creators":["Coleman, Thomas, 1988-"],"institution":"University of Missouri--Columbia","degree_name":"Ph. 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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."]},{"key":"dc:title","label":"Title","values":["Inertial Chow rings and a new asymptotic product"]}]}],"canonical_facts":{"dc:contributor.advisor":["Edidin, Dan"],"dc:creator":["Coleman, Thomas, 1988-"],"dc:date.accessioned":["2016-11-28T19:33:16Z"],"dc:date.available":["2016-11-28T19:33:16Z"],"dc:date.issued":["2016"],"dc:description":["Dissertation supervisor: Dr. Dan Edidin.","Includes vita."],"dc:description.abstract":["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."],"dc:identifier.doi":["https://doi.org/10.32469/10355/56464"],"dc:identifier.uri":["https://hdl.handle.net/10355/56464"],"dc:language":["English"],"dc:language.iso":["eng"],"dc:publisher":["University of Missouri--Columbia"],"dc:rights":["OpenAccess."],"dc:title":["Inertial Chow rings and a new asymptotic product"],"dc:type":["Thesis"],"thesis:degree_discipline":["Mathematics (MU)"],"thesis:degree_level":["Doctoral"],"thesis:degree_name":["Ph. D."],"thesis:institution_name":["University of Missouri--Columbia"]},"updated_at":"2026-07-24T03:07:57Z"}