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Electronic Research Announcements

ISSN 1079-6762



Cobounding odd cycle colorings

Author: Dmitry N. Kozlov
Journal: Electron. Res. Announc. Amer. Math. Soc. 12 (2006), 53-55
MSC (2000): Primary 55M35; Secondary 05C15, 57S17
Published electronically: May 10, 2006
MathSciNet review: 2226524
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Abstract: We prove that the $ (n-2)$nd power of the Stiefel-Whitney class of the space of all $ n$-colorings of an odd cycle is 0 by presenting a cochain whose coboundary is the desired power of the class. This gives a very short self-contained combinatorial proof of a conjecture by Babson and the author.

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Additional Information

Dmitry N. Kozlov
Affiliation: Institute of Theoretical Computer Science, ETH Zürich, Switzerland

Received by editor(s): March 15, 2006
Published electronically: May 10, 2006
Additional Notes: Research supported by Swiss National Science Foundation Grant PP002-102738/1
Communicated by: Sergey Fomin
Article copyright: © Copyright 2006 American Mathematical Society