Titlebook: Configuration Spaces; Geometry, Combinator A. Bjorner,F. Cohen,M. Salvetti Conference proceedings 2012 Scuola Normale Superiore Pisa 2012 a

Observe

Residual nilpotence for generalizations of pure braid groups,s of these groups, like pure Artin groups and like fundamental groups of hyperplane complements (even reflection ones). In this paper we relate this problem to the faithfulness of linear representations, and prove the residual torsion-free nilpotence for a few other groups.

Silent-Ischemia

facetious

GULF

Amenable

Julia Dittel,Olaf Kühne,Florian Webered in detail below..The main features of this expository article are (1) a description of these decompositions together with (2) applications to the structure of the cohomology rings of these spaces. Definitions, examples, as well as one proof for a classical decomposition are included in this report.

indenture

Blood-Clot

Ecotoxicity of Transformation Productsr vectors of the projectivization. If ∑.a. = 0, this form is naturally isomorphic to the restriction to the space of singular vectors of the contravariant form of any affine arrangement obtained from . by dehomogenizing with respect to one of its hyperplanes.

多樣

https://doi.org/10.1007/978-981-19-5908-0for all affine Artin groups. We also give a partial computation of the cohomology of the braid group with non-abelian coefficients coming from geometric representations. We introduce an interesting class of “sheaves over posets”, which we call “weighted sheaves over posets”, and use them for explicit computations.

Feckless

A survey of some recent results concerning polyhedral products,ed in detail below..The main features of this expository article are (1) a description of these decompositions together with (2) applications to the structure of the cohomology rings of these spaces. Definitions, examples, as well as one proof for a classical decomposition are included in this report.

inhumane

Hodge-Deligne equivariant polynomials and monodromy of hyperplane arrangements,Budur and Saito that the spectrum is determined by the weak combinatorial data, and show that such a result fails for the Hodge-Deligne polynomials. In an appendix, we also establish a connection between the Hodge-Deligne polynomials and rational points over finite fields.