Formal Geometry and Bordism Operations (Hardcover) (ISBN-13: 9781108428033)

This text organizes a range of results in chromatic homotopy theory, running a single thread through theorems in bordism and a detailed understanding of the moduli of formal groups. It emphasizes the naturally occurring algebro-geometric models that presage the topological results, taking the reader through a pedagogical development of the field. In addition to forming the backbone of the stable homotopy category, these ideas have found application in other fields: the daughter subject 'elliptic cohomology' abuts mathematical physics, manifold geometry, topological analysis, and the representation theory of loop groups. The common language employed when discussing these subjects showcases their unity and guides the reader breezily from one domain to the next, ultimately culminating in the construction of Witten's genus for String manifolds. This text is an expansion of a set of lecture notes for a topics course delivered at Harvard University during the spring term of 2016.

Author: Eric Peterson
ISBN-10: 1108428037
ISBN-13: 9781108428033
Publisher: Cambridge University Press
Language: English
Published: 12/06/2018
Pages: 418
Format: Hardcover
Weight: 1.70lbs
Size: 9.20h x 7.40w x 0.90d