Integer-valued polynomials and $K$-theory operations
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- by M-J. Strong and Sarah Whitehouse PDF
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Abstract:
This paper provides a unifying approach to recent results linking the fields of integer-valued polynomials and operations in $K$-theory. Following work of Bhargava, we set up a general framework encompassing several examples of rings of integer-valued polynomials. Our main results give bases for the duals of these rings. The rings and their duals all arise in topology as various kinds of cooperations and operations in complex $K$-theory. We show how several previously understood examples fit into this framework and we present some new examples.References
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Additional Information
- M-J. Strong
- Affiliation: Department of Pure Mathematics, University of Sheffield, Sheffield S3 7RH, United Kingdom
- Sarah Whitehouse
- Affiliation: Department of Pure Mathematics, University of Sheffield, Sheffield S3 7RH, United Kingdom
- Email: s.whitehouse@sheffield.ac.uk
- Received by editor(s): May 5, 2009
- Received by editor(s) in revised form: September 9, 2009
- Published electronically: January 29, 2010
- Communicated by: Brooke Shipley
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 2221-2233
- MSC (2010): Primary 55S25; Secondary 13F20, 11B73
- DOI: https://doi.org/10.1090/S0002-9939-10-10237-8
- MathSciNet review: 2596063