The Geometry and Topology of Braid Groups
by Jenny Wilson
Publisher: University of Michigan 2018
Number of pages: 30
Description:
Contents: Five definitions of the (pure) braid group; The topology of Fn(C); The integral cohomology of the pure braid group; Generalizations of PBn and their cohomology; Transfer and twisted coefficients; Stability in the cohomology of braid groups; Polynomials over Fq and the twisted Grothendieck-Lefschetz fixed point theorem.
Download or read it online for free here:
Download link
(630KB, PDF)
Similar books
Geometric Topology: Localization, Periodicity and Galois Symmetryby Dennis Sullivan - Springer
In 1970, Sullivan circulated this set of notes introducing localization and completion of topological spaces to homotopy theory, and other important concepts. The notes remain worth reading for the fresh picture they provide for geometric topology.
(11759 views)
Exotic Homology Manifoldsby Frank Quinn, Andrew Ranicki
Homology manifolds were developed in the 20th century to give a precise setting for Poincare's ideas on duality. They are investigated using algebraic and geometric methods. This volume is the proceedings of a workshop held in 2003.
(10805 views)
Lower K- and L-theoryby Andrew Ranicki - Cambridge University Press
This is the first treatment of the applications of the lower K- and L-groups to the topology of manifolds such as Euclidean spaces, via Whitehead torsion and the Wall finiteness and surgery obstructions. Only elementary constructions are used.
(11688 views)
Introduction to Vassiliev Knot invariantsby S.Chmutov, S.Duzhin, J.Mostovoy - Ohio State Universit
An introduction to the theory of finite type (Vassiliev) knot invariants, with a stress on its combinatorial aspects. Written for readers with no background in this area, and we care more about the basic notions than about more advanced material.
(13200 views)