arXiv Analytics

Sign in

arXiv:1601.06199 [math.AG]AbstractReferencesReviewsResources

Representation theory and the cycle map of a classifying space

Masaki Kameko

Published 2016-01-22Version 1

We compute the Chern subgroup of the 4-th integral cohomology group of a certain classifying space and show that it is a proper subgroup. Such a classifying space gives us new counterexamples for the integral Hodge and Tate conjectures modulo torsion.

Comments: 8 pages
Categories: math.AG, math.AT
Subjects: 14C15, 55R40, 55R35
Related articles: Most relevant | Search more
arXiv:math/0505052 [math.AG] (Published 2005-05-03, updated 2005-07-03)
On the cohomology and the Chow ring of the classifying space of PGL_p
arXiv:1410.5178 [math.AG] (Published 2014-10-20)
On the cycle map of a finite group
arXiv:0903.3693 [math.AG] (Published 2009-03-21, updated 2015-08-23)
Structure of the cycle map for Hilbert schemes of families of nodal curves

Links

Toolbox