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On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties
Artin groups,projective arrangements fundamental groups smooth complex algebraic varieties
2015/10/14
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties.
Hyperbolicity of the complex of free factors
Hyperbolicity of the complex free factors Group Theory
2011/9/13
Abstract: We prove that the complex of free factors of a free group of finite rank is hyperbolic.
Category O for the rational Cherednik algebra associated to the complex reflection group G_12
the rational Cherednik algebra the complex reflection group G_12
2010/11/23
In this paper, we describe the irreducible representations in category O of the rational Cherednik algebra H_c(G_12,h) associated to the complex reflection group G_12 with reflection representation h ...
We show that the Grothendieck-Witt and Witt groups of a smooth complex cellular variety can be identified with its topological KO-groups. As an application, we deduce the values of the Witt groups of...
Deformed diagonal harmonic polynomials for complex reflection groups
Deformed diagonal harmonic polynomials reflection groups
2010/11/22
We introduce deformations of the space of (multi-diagonal) harmonic polynomials for any finite complex reflection group of the form W=G(m,p,n), and give supporting evidence that this space seems to al...
Shape Operator AH for Slant Submanifolds in Generalized Complex Space Forms
Shape operator slant submanifolds generalized complex space form k-Ricci curvature
2010/2/26
In this article, we establish an inequality between the sectional curvature function K and the shape operator AH at the mean curvature vector for slant submanifolds in generalized complex space forms....