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- W2964022229 abstract "Abstract We calculate the homology of the free loop space of <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:mi>n</m:mi> <m:mo>-</m:mo> <m:mn>1</m:mn> </m:mrow> <m:mo>)</m:mo> </m:mrow> </m:math> ${(n-1)}$ -connected closed manifolds of dimension at most <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mrow> <m:mn>3</m:mn> <m:mo></m:mo> <m:mi>n</m:mi> </m:mrow> <m:mo>-</m:mo> <m:mn>2</m:mn> </m:mrow> </m:math> ${3n-2}$ ( <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mi>n</m:mi> <m:mo>≥</m:mo> <m:mn>2</m:mn> </m:mrow> </m:math> ${ngeq 2}$ ), 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]." @default.
- W2964022229 created "2019-07-30" @default.
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- W2964022229 date "2016-06-14" @default.
- W2964022229 modified "2023-10-14" @default.
- W2964022229 title "Free loop space homology of highly connected manifolds" @default.
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- W2964022229 doi "https://doi.org/10.1515/forum-2015-0074" @default.
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