The floer homotopy type of height functions on complex grassmann manifolds

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A family of Floer functions on the infinite dimensional complex Grassmann manifold is defined by taking direct limits of height functions on adjoint orbits of unitary groups. The Floer cohomology of a generic function in the family is computed using the Schubert calculus. The Floer homotopy type of this function is computed and the Floer cohomology which was computed algebraically is recovered from the Floer homotopy type. Certain non-generic elements of this family of Floer functions were shown to be related to the symplectic action functional on the universal cover of the loop space of a finite dimensional complex Grassmann manifold in the author's preprint The Floer homotopy type of complex Grassmann manifolds.

Original languageEnglish (US)
Pages (from-to)2493-2505
Number of pages13
JournalTransactions of the American Mathematical Society
Volume349
Issue number6
StatePublished - 1997

Fingerprint

Grassmann Manifold
Homotopy Type
Complex Manifolds
Cohomology
Schubert Calculus
Direct Limit
Universal Cover
Loop Space
Unitary group
Orbits
Orbit
Family

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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The floer homotopy type of height functions on complex grassmann manifolds. / Hurtubise, David Edward.

In: Transactions of the American Mathematical Society, Vol. 349, No. 6, 1997, p. 2493-2505.

Research output: Contribution to journalArticle

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