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Cohomology of the toric arrangement associated with A(n)
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
2019 (English)In: Journal of Fixed Point Theory and Applications, ISSN 1661-7738, E-ISSN 1661-7746, Vol. 21, no 1, article id 15Article in journal (Refereed) Published
Abstract [en]

We compute the total cohomology of the complement of the toric arrangement associated with the root system An as a representation of the corresponding Weyl group via fixed point theory of a twisted action of the group. We also provide several proofs of an explicit formula for the Poincare polynomial of the complement of the toric arrangement associated with An.

Place, publisher, year, edition, pages
SPRINGER BASEL AG , 2019. Vol. 21, no 1, article id 15
Keywords [en]
Arrangements, Cohomology, Fixed points, Root systems, Weyl groups
National Category
Geometry
Identifiers
URN: urn:nbn:se:uu:diva-373303DOI: 10.1007/s11784-018-0655-xISI: 000454499500001OAI: oai:DiVA.org:uu-373303DiVA, id: diva2:1279460
Note

Correction in: JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, Volume: 21, Issue: 4, Article Number: UNSP 89, DOI: 10.1007/s11784-019-0727-6

Available from: 2019-01-16 Created: 2019-01-16 Last updated: 2019-10-11Bibliographically approved

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Bergvall, Olof
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CiteExportLink to record
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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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  • asciidoc
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