Hofer–Zehnder capacity of unit disk cotangent bundles and the loop product

Irie, Kei. "Hofer–Zehnder capacity of unit disk cotangent bundles and the loop product." Journal of the European Mathematical Society 016.11 (2014): 2477-2497. <http://eudml.org/doc/277502>.

@article{Irie2014,
abstract = {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.},
author = {Irie, Kei},
journal = {Journal of the European Mathematical Society},
keywords = {Hofer–Zehnder capacity; spectral invariant; loop product; symplectic geometry; periodic orbit; Hofer-Zehnder capacity; spectral invariant; symplectic geometry; periodic orbit; loop product},
language = {eng},
number = {11},
pages = {2477-2497},
publisher = {European Mathematical Society Publishing House},
title = {Hofer–Zehnder capacity of unit disk cotangent bundles and the loop product},
url = {http://eudml.org/doc/277502},
volume = {016},
year = {2014},
}

TY - JOUR
AU - Irie, Kei
TI - Hofer–Zehnder capacity of unit disk cotangent bundles and the loop product
JO - Journal of the European Mathematical Society
PY - 2014
PB - European Mathematical Society Publishing House
VL - 016
IS - 11
SP - 2477
EP - 2497
AB - 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.
LA - eng
KW - Hofer–Zehnder capacity; spectral invariant; loop product; symplectic geometry; periodic orbit; Hofer-Zehnder capacity; spectral invariant; symplectic geometry; periodic orbit; loop product
UR - http://eudml.org/doc/277502
ER -