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Dal'nevostochnyi Matematicheskii Zhurnal, 2012, Volume 12, Number 1, Pages 98–107 (Mi dvmg232)  

This article is cited in 2 scientific papers (total in 3 papers)

On almost free torus actions and Horrocks conjecture

Yu. M. Ustinovskii

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (237 kB) Citations (3)
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Abstract: We consider a model for cohomology groups of a space $X$ with an action of torus, representing Koszul complex of its equivariant cohomology. Studying homological properties of modules over polynomial ring we derive new estimates on homological rank (total dimension of rational cohomology) of $X$. In particular, we obtain simple proof of toral rank conjecture in the case of torus dimension $\le 4$.
Key words: almost free torus actions, equivariant cohomology, Koszul complex, moment-angle-complex, bigraded Betti numbers.
Received: 17.01.2012
Document Type: Article
UDC: 515.145.23, 515.145.25
MSC: 55R20
Language: Russian
Citation: Yu. M. Ustinovskii, “On almost free torus actions and Horrocks conjecture”, Dal'nevost. Mat. Zh., 12:1 (2012), 98–107
Citation in format AMSBIB
\Bibitem{Ust12}
\by Yu.~M.~Ustinovskii
\paper On almost free torus actions and Horrocks conjecture
\jour Dal'nevost. Mat. Zh.
\yr 2012
\vol 12
\issue 1
\pages 98--107
\mathnet{http://mi.mathnet.ru/dvmg232}
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  • https://www.mathnet.ru/eng/dvmg232
  • https://www.mathnet.ru/eng/dvmg/v12/i1/p98
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    This publication is cited in the following 3 articles:
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