Book Review: String topology and cyclic homology
نویسندگان
چکیده
منابع مشابه
String Topology and Cyclic Homology
This book is devoted to some recent developments in our understanding of the topology of free loop spaces of manifolds. The contributions are based on three lecture courses given by the authors at a summer school at Almeŕıa, Spain, in the summer of 2003. The two parts treat rather different facets of the theory, and I will try to give some perspective on each of them in turn. The free loop spac...
متن کاملKnot Contact Homology, String Topology, and the Cord Algebra
The conormal Lagrangian LK of a knotK in R3 is the submanifold of the cotangent bundle T ∗R3 consisting of covectors along K that annihilate tangent vectors to K. By intersecting with the unit cotangent bundle S∗R3, one obtains the unit conormal ΛK , and the Legendrian contact homology of ΛK is a knot invariant of K, known as knot contact homology. We define a version of string topology for str...
متن کاملCyclic homology and equivariant homology
The purpose of this paper is to explore the relationship between the cyclic homology and cohomology theories of Connes [9-11], see also Loday and Quillen [20], and "IF equivariant homology and cohomology theories. Here II" is the circle group. The most general results involve the definitions of the cyclic homology of cyclic chain complexes and the notions of cyclic and cocyclic spaces so precis...
متن کاملOn the cyclic Homology of multiplier Hopf algebras
In this paper, we will study the theory of cyclic homology for regular multiplier Hopf algebras. We associate a cyclic module to a triple $(mathcal{R},mathcal{H},mathcal{X})$ consisting of a regular multiplier Hopf algebra $mathcal{H}$, a left $mathcal{H}$-comodule algebra $mathcal{R}$, and a unital left $mathcal{H}$-module $mathcal{X}$ which is also a unital algebra. First, we construct a para...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 2010
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-09-01265-8