The flow category of the action functional on ℒGN,N+K(ℂ)

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Abstract

The flow category of a Morse-Bott-Smale function fA: Gn(ℂ∞) → ℝ is shown to be related to the flow category of the action functional on the universal cover of ℒGn,n+k(ℂ) via a group action. The Floer homotopy type and the associated cohomology ring of fA: Gn(ℂ∞) → ℝ are computed. When n = 1 this cohomology ring is the Floer cohomology of G1,1+k(ℂ).

Original languageEnglish (US)
Pages (from-to)33-50
Number of pages18
JournalIllinois Journal of Mathematics
Volume44
Issue number1
DOIs
StatePublished - Jan 1 2000

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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