Item – Theses Canada

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OCLC number
57062380
Link(s) to full text
LAC copy
LAC copy
Author
Greenberg, Matthew,1978-
Title
Constructing elliptic cohomology.
Degree
M. Sc. -- McGill University, 2002
Publisher
Ottawa : National Library of Canada = Bibliothèque nationale du Canada, [2004]
Description
2 microfiches.
Notes
Includes bibliographical references.
Abstract
In 1986, Landweber, Ravenel, and Stong introduced a new family of generalized cohomology theories. As these theories are in a sense defined by elliptic curves, they were dubbed 'elliptic cohomology theories'. In this thesis; we survey the mathematics behind the construction of elliptic cohomology. Topics treated include the theory of universal formal group laws and the Lazard ring, the formal group law of an elliptic curve, the group law (up-to-homotopy) on <math> <f> <blkbd>CP<sup><mit>[infinity]</mit></sup></blkbd></f> </math>, oriented and complex cobordism theories, the universal elliptic genus, and Landweber's exact functor theorem.
ISBN
0612857905
9780612857902