Results 1 to 10 of about 39,202 (43)
Prisms and prismatic cohomology [PDF]
Annals of Mathematics, 2019 We introduce the notion of a prism, which may be regarded as a "deperfection" of the notion of a perfectoid ring. Using prisms, we attach a ringed site --- the prismatic site --- to a $p$-adic formal scheme. The resulting cohomology theory specializes to
B. Bhatt, P. Scholze
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On the generic part of the cohomology of non-compact unitary Shimura varieties [PDF]
Annals of Mathematics, 2019 We prove that the generic part of the mod l cohomology of Shimura varieties associated to quasi-split unitary groups of even dimension is concentrated above the middle degree, extending our previous work to a non-compact case.
A. Caraiani, P. Scholze
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Machine Learning Line Bundle Cohomology [PDF]
Fortschritte der Physik, 2019 We investigate different approaches to machine learning of line bundle cohomology on complex surfaces as well as on Calabi‐Yau three‐folds. Standard function learning based on simple fully connected networks with logistic sigmoids is reviewed and its ...
Callum R. Brodie +3 more
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Symmetry protected topological phases and generalized cohomology [PDF]
Journal of High Energy Physics, 2017 We discuss the classification of SPT phases in condensed matter systems. We review Kitaev’s argument that SPT phases are classified by a generalized cohomology theory, valued in the spectrum of gapped physical systems [20, 23].
D. Gaiotto, T. Johnson-Freyd
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Etale cohomology of diamonds [PDF]
, 2017 Motivated by problems on the etale cohomology of Rapoport--Zink spaces and their generalizations, as well as Fargues's geometrization conjecture for the local Langlands correspondence, we develop a six functor formalism for the etale cohomology of ...
P. Scholze
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Bounded cohomology of discrete groups [PDF]
, 2016 Bounded cohomology of groups was first defined by Johnson and Trauber during the seventies in the context of Banach algebras. As an independent and very active research field, however, bounded cohomology started to develop in 1982, thanks to the ...
R. Frigerio
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Symmetry protected topological orders and the group cohomology of their symmetry group [PDF]
, 2011 Symmetry protected topological (SPT) phases are gapped short-range-entangled quantum phases with a symmetry G. They can all be smoothly connected to the same trivial product state if we break the symmetry.
Xie Chen, Z. Gu, Zhengxin Liu, X. Wen
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Schwinger-Keldysh formalism. Part II: thermal equivariant cohomology [PDF]
, 2016 A bstractCausally ordered correlation functions of local operators in near-thermal quantum systems computed using the Schwinger-Keldysh formalism obey a set of Ward identities.
Felix M. Haehl +2 more
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Gromov-Witten classes, quantum cohomology, and enumerative geometry [PDF]
, 1994 The paper is devoted to the mathematical aspects of topological quantum field theory and its applications to enumerative problems of algebraic geometry. In particular, it contains an axiomatic treatment of Gromov-Witten classes, and a discussion of their
M. Kontsevich, Y. Manin
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Khovanov homology from Floer cohomology [PDF]
Journal of The American Mathematical Society, 2015 This paper realises the Khovanov homology of a link in S 3 S^3 as a Lagrangian Floer cohomology group, establishing a conjecture of Seidel and the second author.
M. Abouzaid, I. Smith
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