Eric Peterson

Formal Geometry and Bordism Operations (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 6. Dezember 2018
• Englisch
• ISBN-13: 9781108568067
• Artikelnr.: 54767530

Autorenporträt

Eric Peterson is a novelist and playwright. His plays include an adaptation of Nathaniel Hawthorne's The House of the Seven Gables, Seven Strangers in a Circle (nominee, Best Play, Washington Theatre Festival) and Afterglow, which has been performed throughout the US and Europe and was made into a short film. He has been a regular contributor to Letters from CAMP Rehoboth and NBC Out, and cohosts The Rewind Project, a podcast about old movies and modern times. For the past two decades, Eric has been an organizational Diversity, Equity, and Inclusion (DEI) practitioner. Loyalty, Love, & Vermouth is his first novel.

Inhaltsangabe

Foreword Matthew Ando
Preface
Introduction
1. Unoriented bordism
2. Complex bordism
3. Finite spectra
4. Unstable cooperations
5. The ¿-orientation
Appendix A. Power operations
Appendix B. Loose ends
References
Index.