Minimal models of oriented partial flag manifolds

Vimala Ramani ()
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Vimala Ramani: Anna University

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 4, 1350-1364

Abstract: Abstract We construct the Sullivan minimal models of the oriented partial flag manifolds $$\widetilde{F}(n_1,\ldots ,n_k)$$ F ~ ( n 1 , … , n k ) of type $$(n_1,\ldots ,n_k)$$ ( n 1 , … , n k ) , $$k\ge 3$$ k ≥ 3 and verify that they are formal. As an application of formality, we state the rational LS category and the rational topological complexity of oriented partial flag manifolds.

Keywords: Oriented partial flag manifolds; Rational homotopy; Minimal model; Formal spaces; Rational LS category; Rational topological complexity; 57T15; 55P62; 55M30 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-023-00443-w

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