Orthogonal calculus
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- by Michael Weiss PDF
- Trans. Amer. Math. Soc. 347 (1995), 3743-3796 Request permission
Erratum: Trans. Amer. Math. Soc. 350 (1998), 851-855.
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: $F(V) = BO(V)$, where $O(V)$ is the orthogonal group of $V$. 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.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 347 (1995), 3743-3796
- MSC: Primary 55P65; Secondary 55R40, 55S45, 55U40, 57R20
- DOI: https://doi.org/10.1090/S0002-9947-1995-1321590-3
- MathSciNet review: 1321590