Results 91 to 100 of about 133,631 (232)
sl(2)-Trivial Deformations of Vect_{Pol}(R)-Modules of Symbols
We consider the action of Vect_{Pol}(R) by Lie derivative on the spaces of symbols of differential operators. We study the deformations of this action that become trivial once restricted to sl(2).
Mabrouk Ben Ammar, Maha Boujelbene
doaj +1 more source
We explore differential and algebraic operations on the exterior product of spinor representations and their twists that give rise to cohomology, the spin cohomology. A linear differential operator $d$ is introduced which is associated to a connection $\nabla$ and a parallel spinor $ $, $\nabla =0$, and the algebraic operators $D_{(p)}$ are ...
openaire +3 more sources
Nontautological cycles on moduli spaces of smooth pointed curves
Abstract In recent work by Arena, Canning, Clader, Haburcak, Li, Mok, and Tamborini, it was proven that for infinitely many values of g$g$ and n$n$, there exist nontautological algebraic cohomology classes on the moduli space Mg,n$\mathcal {M}_{g,n}$ of smooth genus g$g$, n$n$‐pointed curves.
Dario Faro, Carolina Tamborini
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(Co)homology of triassociative algebras
We study homology and cohomology of triassociative algebras with nontrivial coefficients. The cohomology theory is applied to study algebraic deformations of triassociative algebras.
Donald Yau
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Type II string theory on Calabi-Yau manifolds with torsion and non-Abelian discrete gauge symmetries
We provide the first explicit example of Type IIB string theory compactification on a globally defined Calabi-Yau threefold with torsion which results in a four-dimensional effective theory with a non-Abelian discrete gauge symmetry. Our example is based
Volker Braun+3 more
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Let \(G\) be a \(p\)-group, the `coclass' of \(G\) is defined as \(r=n-c\), where \(p^n\) is the order of \(G\) and \(c\) is the length of the lower central series of \(G\). There is a classification of finite \(p\)-groups according to their coclass: \textit{C. R. Leedham-Green} [J. Lond. Math. Soc. II, Ser. 50, No.
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Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds
Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
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On the universal pairing for 2‐complexes
Abstract The universal pairing for manifolds was defined and shown to lack positivity in dimension 4 in [Freedman, Kitaev, Nayak, Slingerland, Walker, and Wang, J. Geom. Topol. 9 (2005), 2303–2317]. We prove an analogous result for 2‐complexes, and show that the universal pairing does not detect the difference between simple homotopy equivalence and 3 ...
Mikhail Khovanov+2 more
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Generalized representations of 3-Hom-Lie algebras
The propose of this paper is to extend generalized representations of 3-Lie algebras to Hom-type algebras. We introduce the concept of generalized representation of multiplicative 3-Hom-Lie algebras, develop the corresponding cohomology theory and study ...
S. Mabrouk, A. Makhlouf, S. Massoud
doaj
On fixed‐point‐free involutions in actions of finite exceptional groups of Lie type
Abstract Let G$G$ be a nontrivial transitive permutation group on a finite set Ω$\Omega$. By a classical theorem of Jordan, G$G$ contains a derangement, which is an element with no fixed points on Ω$\Omega$. Given a prime divisor r$r$ of |Ω|$|\Omega |$, we say that G$G$ is r$r$‐elusive if it does not contain a derangement of order r$r$. In a paper from
Timothy C. Burness, Mikko Korhonen
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