Configuration Spaces: Geometry, Combinatorics and Topology

Front Matter....Pages i-xxii
On the structure of spaces of commuting elements in compact Lie groups....Pages 1-26
On the fundamental group of the complement of two real tangent conics and an arbitrary number of real tangent lines....Pages 27-48
Intersection cohomology of a rank one local system on the complement of a hyperplane-like divisor....Pages 49-53
A survey of some recent results concerning polyhedral products....Pages 55-80
Characters of fundamental groups of curve complements and orbifold pencils....Pages 81-109
Analytic continuation of a parametric polytope and wall-crossing....Pages 111-172
Embeddings of braid groups into mapping class groups and their homology....Pages 173-191
The cohomology of the braid group B 3 and of SL 2 (ℤ) with coefficients in a geometric representation....Pages 193-211
Pure braid groups are not residually free....Pages 213-230
Hodge-Deligne equivariant polynomials and monodromy of hyperplane arrangements....Pages 231-253
The contravariant form on singular vectors of a projective arrangement....Pages 255-272
Fox-Neuwirth cell structures and the cohomology of symmetric groups....Pages 273-298
Basic questions on Artin-Tits groups....Pages 299-311
Rational cohomology of the real Coxeter toric variety of type A....Pages 313-326
Arrangements stable under the Coxeter groups....Pages 327-354
Quantum and homological representations of braid groups....Pages 355-372
Cohomology of the complement to an elliptic arrangement....Pages 373-388
Residual nilpotence for generalizations of pure braid groups....Pages 389-401
Some topological problems on the configuration spaces of Artin and Coxeter groups....Pages 403-431
Chromatic quasisymmetric functions and Hessenberg varieties....Pages 433-460
Geometric and homological finiteness in free abelian covers....Pages 461-501
Minimal stratifications for line arrangements and positive homogeneous presentations for fundamental groups....Pages 503-533
Back Matter....Pages 535-536