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Free loop space hom...
Abstract
Ämnesord
Stäng
- We calculate the homology of the free loop space of (n - 1)-connected closed manifolds of dimension at most 3 n - 2 (n >= 2), with the Chas-Sullivan loop product and loop bracket. Over a field of characteristic zero, we obtain an expression for the BV-operator. We also give explicit formulas for the Betti numbers, showing they grow exponentially. Our main tool is the connection between formality, coformality and Koszul algebras that was elucidated by the first author [6].
Ämnesord
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
Nyckelord
- Free loop spaces
- Koszul algebras
- String topology
- BV-algebras
- Hochschild cohomology
- Mathematics
- matematik
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- ref (ämneskategori)
- art (ämneskategori)
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