An Alpine Expedition through Algebraic Topology

ISBN-13: 9780821891452 / Angielski

Christian Ausoni;Kathryn Hess;Brenda Johnson

Opis

This volume contains the proceedings of the Fourth Arolla Conference on Algebraic Topology which took place in Arolla Switzerland from August 20-25 2012. The papers in this volume cover topics such as category theory and homological algebra functor homology algebraic $K$-theory cobordism categories group theory generalized cohomology theories and multiplicative structures the theory of iterated loop spaces Smith-Toda complexes and topological modular forms.

Spis treści

• Some properties of the Thom spectrum over loop suspension of complex projective space by A. Baker and B. Richter
• Rational equivariant rigidity by D. Barnes and C. Roitzheim
• Homotopy colimits of model categories by J. E. Bergner
• The cobordism category and Waldhausen's K-theory by M. Bokstedt and I. Madsen
• Idempotents, localizations and Picard groups of A(1)-modules by R. R. Bruner
• Covers of groups by W. Chacholski
• A relative h-principle via cobordism-like categories by E. Dotto
• Absolutely homotopy-cartesian squares by R. Eldred
• Koszul duality complexes for the cohomology of iterated loop spaces of spheres by B. Fresse
• Periodicity, compositions and EHP sequences by B. Gray
• Non-connective K- and Nil-spectra of additive categories by W. Luck and W. Steimle
• H¥¹E¥ by J. Noel
• Calculating descent for 2-primary topological modular forms by V. Stojanoska
• Applications of functor (co)homology by A. Touze
• Constructing homotopy equivalences of chain complexes of free G-modules by L. Vokrinek.