The Geometry of Iterated Loop Spaces
by J. P. May
Publisher: Springer 1972
ISBN/ASIN: 3540059040
ISBN-13: 9783540059042
Number of pages: 175
Description:
This is the first of a series of papers devoted to the study of iterated loop spaces. Our goal is to develop a simple and coherent theory which encompasses most of the known results about such spaces. We begin with some history and a description of the desiderata of such a theory.
Download or read it online for free here:
Download link
(4.8MB, PDF)
Similar books
H Ring Spectra and Their Applicationsby R. R. Bruner, J. P. May, J. E. McClure, M. Steinberger - Springer
This volume concerns spectra with enriched multiplicative structure. It is a truism that interesting cohomology theories are represented by ring spectra, the product on the spectrum giving rise to the cup products in the theory.
(9851 views)
A Primer on Homotopy Colimitsby Daniel Dugger - University of Oregon
This is an expository paper on homotopy colimits and homotopy limits. These are constructions which should arguably be in the toolkit of every modern algebraic topologist. Many proofs are avoided, or perhaps just sketched.
(9859 views)
Manifold Theoryby Peter Petersen - UCLA
These notes are a supplement to a first year graduate course in manifold theory. These are the topics covered: Manifolds (Smooth Manifolds, Projective Space, Matrix Spaces); Basic Tensor Analysis; Basic Cohomology Theory; Characteristic Classes.
(9295 views)
Geometry of 2D Topological Field Theoriesby Boris Dubrovin - arXiv
These lecture notes are devoted to the theory of equations of associativity describing geometry of moduli spaces of 2D topological field theories. Topics: WDVV equations and Frobenius manifolds; Polynomial solutions of WDVV; Symmetries of WDVV; etc.
(12995 views)