Geodesic
Hofer–Zehnder capacity of unit disk cotangent bundles and the loop product
Journal of the European Mathematical Society, Tome 16 (2014) no. 11, pp. 2477-2497

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DOI

We prove a new finiteness result for the Hofer–Zehnder capacity of certain unit disk cotangent bundles. It is proved by a computation of the pair-of-pants product on Floer homology of cotangent bundles, combined with the theory of spectral invariants. The computation of the pair-of-pants product is reduced to a simple key computation of the Chas–Sullivan loop product.
DOI : 10.4171/jems/491
Classification : 53-XX, 00-XX, 70-XX
Keywords: Hofer–Zehnder capacity, spectral invariant, loop product 
Kei Irie. Hofer–Zehnder capacity of unit disk cotangent bundles and the loop product. Journal of the European Mathematical Society, Tome 16 (2014) no. 11, pp. 2477-2497. doi: 10.4171/jems/491
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     author = {Kei Irie},
     title = {Hofer{\textendash}Zehnder capacity of unit disk cotangent bundles and the loop product},
     journal = {Journal of the European Mathematical Society},
     pages = {2477--2497},
     year = {2014},
     volume = {16},
     number = {11},
     doi = {10.4171/jems/491},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/491/}
}
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