Commutative cocycles and stable bundles over surfaces

dc.contributor.authorRamras, Daniel A.
dc.contributor.authorVillareal, Bernardo
dc.contributor.departmentMathematical Sciences, School of Scienceen_US
dc.date.accessioned2020-07-10T20:54:03Z
dc.date.available2020-07-10T20:54:03Z
dc.date.issued2019-11
dc.description.abstractCommutative K-theory, a cohomology theory built from spaces of commuting matrices, has been explored in recent work of Adem, Gómez, Gritschacher, Lind and Tillman. In this article, we use unstable methods to construct explicit representatives for the real commutative K-theory classes on surfaces. These classes arise from commutative O(2)-valued cocycles and are analyzed via the point-wise inversion operation on commutative cocycles.en_US
dc.eprint.versionAuthor's manuscripten_US
dc.identifier.citationRamras, D. A., & Villarreal, B. (2019). Commutative cocycles and stable bundles over surfaces. Forum Mathematicum, 31(6), 1395–1415. https://doi.org/10.1515/forum-2018-0163en_US
dc.identifier.urihttps://hdl.handle.net/1805/23221
dc.language.isoenen_US
dc.publisherDe Gruyteren_US
dc.relation.isversionof10.1515/forum-2018-0163en_US
dc.relation.journalForum Mathematicumen_US
dc.rightsPublisher Policyen_US
dc.sourceAuthoren_US
dc.subjectvector bundleen_US
dc.subjectcommuting matricesen_US
dc.subject55N15en_US
dc.titleCommutative cocycles and stable bundles over surfacesen_US
dc.typeArticleen_US
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