Gróbner bases of oriented grassmann manifolds

Tomohiro Fukaya

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

For n = 2m+1 - 4, m ≥ 2, we determine the cup-length of H*(G̃n,3; ℤ/2) by finding a Gröbner basis associated with a certain subring, where G̃n,3 is the oriented Grassmann manifold SO(n + 3)/SO(n) x SO(3). As an application, we provide not only a lower but also an upper bound for the LS-category of G̃ n,3. We also study the immersion problem of G̃n,3.

Original languageEnglish
Pages (from-to)195-209
Number of pages15
JournalHomology, Homotopy and Applications
Volume10
Issue number2
DOIs
Publication statusPublished - 2008

Keywords

  • Cup-length
  • Gröbner bases
  • Immersion
  • LS-category

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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