Gauging Spatial Symmetries and the Classification of Topological Crystalline Phases
Physical Review X, 2018 We put the theory of interacting topological crystalline phases on a systematic footing. These are topological phases protected by space-group symmetries. Our central tool is an elucidation of what it means to “gauge” such symmetries.
Ryan Thorngren, Dominic V. Else
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SERRE WEIGHTS AND WILD RAMIFICATION IN TWO-DIMENSIONAL GALOIS REPRESENTATIONS
Forum of Mathematics, Sigma, 2016 A generalization of Serre’s Conjecture asserts that if $F$ is a totally real field, then certain characteristic
LASSINA DEMBÉLÉ +2 more
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Stable rational cohomology of automorphism groups of free groups and the integral cohomology of moduli spaces of graphs [PDF]
, 2002 It is not known whether or not the stable rational cohomology groups H*(Aut(F[infinity]);Q) always vanish (see Hatcher in [5] and Hatcher and Vogtmann in [7] where they pose the question and show that it does vanish in the first 6 dimensions).
Jensen, Craig A., C. A. Jensen
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Cyclic cohomology after the excision theorem of Cuntz and Quillen [PDF]
, 2013 The excision theorem of Cuntz and Quillen established the existence of a six term exact sequence in the bivariant periodic cyclic cohomology HP*(–,–) associated with an arbitrary algebra extension 0 ? S ? P ? Q ? 0.
Jacek Brodzki, Brodzki, Jacek
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Uniqueness of A-infinity structures and Hochschild cohomology [PDF]
, 2011 Working over a commutative ground ring, we establish a Hochschild cohomology criterion for uniqueness of derived A-infinity algebra structures in the sense of Sagave.
Whitehouse, Sarah +5 more
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A Variational Tate Conjecture in crystalline cohomology [PDF]
Journal of the European Mathematical Society, 2019 Given a smooth, proper family of varieties in characteristic p > 0 , and a cycle z on a fibre of the family, we consider a Variational Tate Conjecture ...
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Rigid gauges and F-zips, and the fundamental sheaf of gauges Gn [PDF]
, 2009 We establish an equivalence of categories between a category of gauges and Moonens and Wedhorns category of F-zips.
Schnellinger, Felix
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Crystalline cohomology and de Rham cohomology
, 2011 The goal of this short paper is to give a slightly different perspective on the comparison between crystalline cohomology and de Rham cohomology. Most notably, we reprove Berthelot's comparison result without using pd-stratifications, linearisations, and pd-differential operators.
Bhatt, Bhargav, de Jong, Aise Johan
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Poincaré Duality for Logarithmic Crystalline Cohomology [PDF]
Compositio Mathematica, 1999 We prove Poincaré duality for logarithmic crystalline cohomology of log smooth schemes whose underlying schemes are reduced. This is a generalization of the result of P. Berthelot for usual smooth schemes and that of O. Hyodo for the special fibers of semi-stable families and trivial coefficients.
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Integral cohomology and chern classes of the special linear group over the ring of integers [PDF]
, 2001 This paper is devoted to the complete calculation of the additive structure of the 2-torsion of the integral cohomology of the innite special linear group SL(Z) over the ring of integers Z.
Arlettaz, Dominique +3 more
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