Monoid of Self-equivalences and Free Loop Spaces

  • YVES FÉLIX
  • Published 2003

Abstract

Let M be a simply-connected closed oriented N-dimensional manifold. We prove that for any field of coefficients lk there exists a natural homomorphism of commutative graded algebras Γ : H∗(Ω aut1M) → H∗(M 1 ) where H∗(M 1 ) = H∗+N (MS 1 ) is the loop algebra defined by Chas and Sullivan. As usual aut1X denotes the monoid of self-equivalences homotopic to… (More)

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