Reduced symplectic homology and string topology
Abstract
We introduce a common domain of definition for the loop product and the loop coproduct, reduced loop homology, on which they combine to a unital infinitesimal anti-symmetric bialgebra structure. In particular, a relation conjectured by Sullivan holds with an extra term. The structure depends on choices governed by secondary continuation maps. These results on string topology are proved in the more general context of reduced symplectic homology for a suitable class of Weinstein manifolds.
Fields of Study & Subjects
Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Tunisian Journal of Mathematics
- Publisher
- Mathematical Sciences Publishers
- Volume
- 8
- Issue
- 2
- Pages
- 203–264
- Publication date
- 2 April 2026
- Language
- EN