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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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 
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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},
     publisher = {mathdoc},
     volume = {16},
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     year = {2014},
     doi = {10.4171/jems/491},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/491/}
}
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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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