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portada Formal Geometry and Bordism Operations (Cambridge Studies in Advanced Mathematics) (in English)
Type
Physical Book
Year
2018
Language
English
Pages
418
Format
Hardcover
ISBN13
9781108428033
Edition No.
1
Categories

Formal Geometry and Bordism Operations (Cambridge Studies in Advanced Mathematics) (in English)

Eric Peterson (Author) · Cambridge University Press · Hardcover

Formal Geometry and Bordism Operations (Cambridge Studies in Advanced Mathematics) (in English) - Eric Peterson

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Synopsis "Formal Geometry and Bordism Operations (Cambridge Studies in Advanced Mathematics) (in English)"

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.

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The book is written in English.
The binding of this edition is Hardcover.

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