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Formal geometry and bordism operations

Peterson, Eric, (1987-)

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Formal geometry and bordism operations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Formal geometry and bordism operations/ Eric Peterson.
作者:	Peterson, Eric,
出版者:	Cambridge :Cambridge University Press, : 2019.,
面頁冊數:	x, 405 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 16 Nov 2018).
標題:	Topological manifolds. -
電子資源:	https://doi.org/10.1017/9781108552165
ISBN:	9781108552165

Formal geometry and bordism operations
Peterson, Eric,1987-

Formal geometry and bordism operations[electronic resource] /Eric Peterson. - Cambridge :Cambridge University Press,2019. - x, 405 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;177. - Cambridge studies in advanced mathematics ;177..

Title from publisher's bibliographic system (viewed on 16 Nov 2018).

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.

ISBN: 9781108552165Subjects--Topical Terms:

668147
Topological manifolds.

LC Class. No.: QA613.2 / .P48 2019

Dewey Class. No.: 514.2

Formal geometry and bordism operations
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520 $a 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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