30 citations · 43 across the 7 of their papers we have counts for
8 papers
Loop coproduct in Morse and Floer homology
Kai Cieliebak, Nancy Hingston, Alexandru Oancea
By a well-known theorem of Viterbo, the symplectic homology of the cotangent bundle of a closed manifold is isomorphic to the homology of its loop space. In this paper we extend th…
Poincaré duality for loop spaces
Kai Cieliebak, Nancy Hingston, Alexandru Oancea
We show that Rabinowitz Floer homology and cohomology carry the structure of a graded Frobenius algebra for both closed and open strings. We prove a Poincaré duality theorem betwee…
Product and coproduct in string topology
Nancy Hingston, Nathalie Wahl
Let M be a closed Riemannian manifold. We extend the product of Goresky-Hingston, on the cohomology of the free loop space of M relative to the constant loops, to a nonrelative pro…
The space of paths in complex projective space with real boundary conditions
Nancy Hingston, Alexandru Oancea
We compute the integral homology of the space of paths in with endpoints in , and its algebra structure with respect to the Pontryagin-Chas…
Resonance for loop homology of spheres
Nancy Hingston, Hans-Bert Rademacher
A Riemannian or Finsler metric on a compact manifold M gives rise to a length function on the free loop space ΛM, whose critical points are the closed geodesics in the given metric…
Loop Products and Closed Geodesics
Mark Goresky, Nancy Hingston
We show the Chas-Sullivan product (on the homology of the free loop space of a Riemannian manifold) is related to the Morse index of its closed geodesics. We construct related prod…