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  1. Bog
  2. Matematikkens fundament
  3. Matematisk logik

Formal Geometry and Bordism Operations

Af: Eric Peterson Engelsk Hardback

Formal Geometry and Bordism Operations

Af: Eric Peterson Engelsk Hardback
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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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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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Produktdetaljer
Sprog: Engelsk
Sider: 418
ISBN-13: 9781108428033
Indbinding: Hardback
Udgave:
ISBN-10: 1108428037
Kategori: Matematisk logik
Udg. Dato: 6 dec 2018
Længde: 23mm
Bredde: 157mm
Højde: 234mm
Forlag: Cambridge University Press
Oplagsdato: 6 dec 2018
Forfatter(e): Eric Peterson
Forfatter(e) Eric Peterson

Kategori Matematisk logik

ISBN-13 9781108428033

Sprog Engelsk

Indbinding Hardback

Sider 418

Udgave

Længde 23mm

Bredde 157mm

Højde 234mm

Udg. Dato 6 dec 2018

Oplagsdato 6 dec 2018

Forlag Cambridge University Press

Kategori sammenhænge