Jack Morava
Abelian varieties and the Kervaire invariant.
Wed, 05/04/2011 - 15:01 — SomNambulAuthors: Jack Morava
Subjects: Algebraic Topology
AbstractNotes from a talk at the April 2011 ICMS (Edinburgh) conference on the recent
solution of the Kervaire invariant problem. This is an entirely expository
account, emphasizing connections with the theory of topological automorphic
forms.On gauge theories of mass.
Thu, 01/07/2010 - 16:01 — SomNambulAuthors: Jack Morava
Subjects: Mathematical Physics
AbstractMass as broken conformal symmetry: the graviton makes better sense as a
Goldstone boson associated to the dilaton, than vice versa.Chiral structures on the 4D spin cobordism category.
Mon, 08/24/2009 - 13:10 — SomNambulAuthors: Jack Morava
Subjects: Quantum Algebra
AbstractThis posting is INVALID and has been WITHDRAWN. Please see N. Kitchloo and
JM, Spin cobordism categories in low dimensions, arXiv:0908.3114, for a
replacement and revision.- 10 comments
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Spin cobordism categories in low dimensions.
Mon, 08/24/2009 - 13:10 — SomNambulAuthors: Nitu Kitchloo, Jack Morava
Subjects: Algebraic Topology
AbstractThe Madsen-Tillmann spectra defined by categories of three- and
four-dimensional Spin manifolds have a very rich algebraic structure, whose
surface is scratched here.A theory of base motives.
Mon, 08/24/2009 - 13:10 — SomNambulAuthors: Jack Morava
Subjects: Algebraic Topology
AbstractA category of correspondences based on Waldhausen A-theory has interesting
analogies, in the context of differential topology, to categories of mixed Tate
motives studied in arithmetic geometry.In particular, the Hopf object S \wedge_A S (regarding A(*) as a kind of
local ring over the sphere spectrum) has some similarities to a motivic group
for this category; its associated rational Lie algebra is free, on odd-degree
generators...
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