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Topological protection of optical skyrmions through complex media. [PDF]
Wang AA+16 more
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Splitting unramified Brauer classes by abelian torsors and the period-index problem. [PDF]
Huybrechts D, Mattei D.
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Improved Statistics for F-theory Standard Models. [PDF]
Bies M, Cvetič M, Donagi R, Ong M.
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Stability of Homomorphisms, Coverings and Cocycles I: Equivalence
Chapman M, Lubotzky A.
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Uncovering 2-D toroidal representations in grid cell ensemble activity during 1-D behavior. [PDF]
Hermansen E, Klindt DA, Dunn BA.
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Arithmetic fundamental lemma for the spherical Hecke algebra. [PDF]
Li C, Rapoport M, Zhang W.
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Tropical Refined Curve Counting with Descendants. [PDF]
Kennedy-Hunt P+2 more
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Relative Cohomology and Generalized Tate Cohomology
Algebras and Representation Theory, 2017We compare relative cohomology theories arising from using different proper resolutions of modules. Criteria for the vanishing of such distinctions are given in certain cases, and we show that this is related to the generalized Tate cohomology theory. We also demonstrate that the two balance properties admitted by the two different cohomology theories ...
Bin Yu, Xiaosheng Zhu, Yanbo Zhou
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Homology. Cohomology. de Rham Cohomology
1997In mathematics one often encounters the following situation. Let a sequence of abelian groups (modules) ... be given $$ \{ {C^n},n \in \mathbb{Z}\} $$ (1*) together with homomorphisms d n : C n → C n+1 (called differentials or coboundary homomorphisms) for whose $$ {d_{n + 1}}{d_n} = 0 (zero group) for all n. $$ (2*)
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