9 citations · 51 across the 17 of their papers we have counts for
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math.GT2014★ 2 cited
A chain level Batalin-Vilkovisky structure in string topology via de Rham chains
Kei Irie
The aim of this paper is to define a chain level refinement of the Batalin-Vilkovisky (BV) algebra structure on the homology of the free loop space of a closed, oriented …
math.DS2014★ 1 cited
Periodic billiard trajectories and Morse theory on loop spaces
Kei Irie
We study periodic billiard trajectories on a compact Riemannian manifold with boundary, by applying Morse theory to Lagrangian action functionals on the loop space of the manifold.…