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- Title
The free loop space equivariant cohomology algebra of some formal spaces.
- Authors
Bitjong Ndombol; El Haouari, M.
- Abstract
Let $${\mathbb{K}}$$ be a field of characteristic p > 0 and S the unit circle. We construct a model for the negative cylic homology of a commutative cochain algebra with two stages Sullivan minimal model. Using the notion of shc-formality introduced in Bitjong and Thomas (Topology 41:85-106), the main result of Bitjong and El Haouari (Math Ann 338:347-354) and techniques of Vigué-Poirrier (J Pure Appl Algebra 91:347-354) we compute the S-equivariant cohomology algebras of the free loop spaces of the infinite complex projective space $${\mathbb{CP}(\infty)}$$ and the odd spheres S.
- Subjects
ALGEBRAIC spaces; HOMOLOGY theory; ALGEBRAIC fields; COMMUTATIVE algebra; PROJECTIVE geometry; MATHEMATICAL analysis; ALGEBRAIC geometry
- Publication
Mathematische Zeitschrift, 2010, Vol 266, Issue 4, p863
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-009-0602-z