Orthogonal Calculus
Open Access
- 1 October 1995
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 347 (10) , 3743-3796
- https://doi.org/10.2307/2155204
Abstract
Orthogonal calculus is a calculus of functors, similar to Goodwillie's calculus. The functors in question take finite dimensional real vector spaces (with an inner product) to pointed spaces. Prime example: , where is the orthogonal group of . In this example, and in general, first derivatives in the orthogonal calculus reproduce and generalize much of the theory of Stiefel-Whitney classes. Similarly, second derivatives in the orthogonal calculus reproduce and generalize much of the theory of Pontryagin classes.Keywords
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