Cohomology of polynomials under an irrational rotation
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- by Lawrence W. Baggett, Herbert A. Medina and Kathy D. Merrill PDF
- Proc. Amer. Math. Soc. 126 (1998), 2909-2918 Request permission
Abstract:
A new description of cohomology of functions under an irrational rotation is given in terms of symmetry properties of the functions on subintervals of $[0,1].$ This description yields a method for passing information about the cohomology classes for a given irrational to the cohomology classes for an equivalent irrational.References
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Additional Information
- Lawrence W. Baggett
- Affiliation: Department of Mathematics, University of Colorado, Boulder, Colorado 80309
- Email: baggett@euclid.colorado.edu
- Herbert A. Medina
- Affiliation: Department of Mathematics, Loyola Marymount University, Los Angeles, California 90045
- Email: hmedina@lmumail.lmu.edu
- Kathy D. Merrill
- Affiliation: Department of Mathematics, The Colorado College, Colorado Springs, Colorado 80903
- Email: kmerrill@cc.colorado.edu
- Received by editor(s): February 26, 1997
- Additional Notes: This research was partially supported by NSF grants DMS9201720 and DMS9401180.
- Communicated by: David R. Larson
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 2909-2918
- MSC (1991): Primary 28D05, 11K38
- DOI: https://doi.org/10.1090/S0002-9939-98-04424-4
- MathSciNet review: 1459104