Results 91 to 100 of about 138,760 (231)
Topological Information Data Analysis
Entropy, 2019 This paper presents methods that quantify the structure of statistical interactions within a given data set, and were applied in a previous article.
Pierre Baudot +3 more
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Cohomologies of the Poisson superalgebra [PDF]
Theoretical and Mathematical Physics, 2005 We consider antiPoisson superalgebras realized on the smooth Grassmann-valued functions with compact supports in R^n and with the grading inverse to Grassmanian parity. The lower cohomologies of these superalgebras are found.
A. G. Smirnov +2 more
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Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We investigate the question of when a given homogeneous ideal is a limit of saturated ones. We provide cohomological necessary criteria for this to hold and apply them to a range of examples. In small cases, we characterise the limits. We also supply a number of auxiliary results on the classical and multigraded Hilbert schemes, for example ...
Joachim Jelisiejew, Tomasz Mańdziuk
wiley +1 more source
Some Results on the Cohomology of Line Bundles on the Three Dimensional Flag Variety
Mathematics, 2019 Let k be an algebraically closed field of prime characteristic and let G be a semisimple, simply connected, linear algebraic group. It is an open problem to find the cohomology of line bundles on the flag variety G / B , where B is a Borel ...
Muhammad Fazeel Anwar
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Going from cohomology to Hochschild cohomology
Journal of Algebra, 2005 AbstractThe relation between ‘ordinary’ cohomology, and Hochschild cohomology is investigated for quotients of quiver algebras which are either graded or finite-dimensional. It is shown that a resolution of the direct sum of the simple modules of the algebra can often be made two-sided, and yield a resolution of the algebra itself over its enveloping ...
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On a higher dimensional worm domain and its geometric properties
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We construct new three‐dimensional variants of the classical Diederich–Fornæss worm domain. We show that they are smoothly bounded, pseudoconvex, and have nontrivial Nebenhülle. We also show that their Bergman projections do not preserve the Sobolev space for sufficiently large Sobolev indices.
Steven G. Krantz +2 more
wiley +1 more source
Equivariant cohomology and cohomological field theories [PDF]
Nuclear Physics B - Proceedings Supplements, 1995 A general method is given to construct a class of observables in topological field theories.
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Purity, ascent and periodicity for Gorenstein flat cotorsion modules
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We investigate purity within the Frobenius category of Gorenstein flat cotorsion modules, which can be seen as an infinitely generated analogue of the Frobenius category of Gorenstein projective objects. As such, the associated stable category can be viewed as an alternative approach to a big singularity category, which is equivalent to Krause'
Isaac Bird
wiley +1 more source
A Hodge-type decomposition of holomorphic Poisson cohomology on nilmanifolds
Complex Manifolds, 2017 A cohomology theory associated to a holomorphic Poisson structure is the hypercohomology of a bicomplex where one of the two operators is the classical მ̄-operator, while the other operator is the adjoint action of the Poisson bivector with respect to ...
Poon Yat Sun, Simanyi John
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On Cohomological Triviality [PDF]
Proceedings of the American Mathematical Society, 1967 PROOF. As usual we proceed by induction on the order n= I GI. The theorem is trivial for n= 1. Suppose n> 1 and assume the truth of the theorem for all groups of order
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