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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Cohomology of polynomials
under an irrational rotation


Authors: Lawrence W. Baggett, Herbert A. Medina and Kathy D. Merrill
Journal: Proc. Amer. Math. Soc. 126 (1998), 2909-2918
MSC (1991): Primary 28D05, 11K38
MathSciNet review: 1459104
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04424-4
PII: S 0002-9939(98)04424-4
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
Article copyright: © Copyright 1998 American Mathematical Society