Advanced Courses in Mathematics - CRM Barcelona
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Köp båda 2 för 776 krIn 1989-90 the Mathematical Sciences Research Institute conducted a program on Algebraic Topology and its Applications. The main areas of concentration were homotopy theory, K-theory, and applications to geometric topology, gauge theory, and modul...
From the reviews: This book gives an introduction to some exciting recent developments in the topology of free loop spaces. It should be a good starting point for a more detailed study of the rapidly developing literature on this subject, and given the pace of these advances, this maybe the best that could be hoped for. (Janko Latschev, Bulletin of the American Mathematical Society, Vol. 47 (4), October, 2010)
Notes on String Topology.- Intersection theory in loop spaces.- The cacti operad.- Field theoretic properties of string topology.- A Morse theoretic viewpoint.- Brane topology.- An Algebraic Model for Mod 2 Topological Cyclic Homology.- Preliminaries.- Free loop spaces.- Homotopy orbit spaces.- A model for mod 2 topological cyclic homology.