Operads are mathematical devices that describe algebraic structures of many varieties and
in various categories. Operads are particularly important in categories with a good notion of …

Rational homotopy is a very powerful tool for differential topology and geometry. This text
aims to provide graduates and researchers with the tools necessary for the use of rational …

This is a research monograph on symplectic cohomology (disguised as an advanced
graduate textbook), which provides a construction of this version of Hamiltonian Floer …

We prove that the pair-of-pants product on the Floer homology of the cotangent bundle of a
compact manifold M corresponds to the Chas–Sullivan loop product on the singular …

arXiv:2410.19936v1 [math.SG] 25 Oct 2024 Page 1 Symplectic field theory: an overview
Richard Hind∗ and Kyler Siegel† October 29, 2024 Abstract We summarize some of the main …

Abstract In 3 Chas and Sullivan defined an intersection product on the homology H*(LM) of
the space of smooth loops in a closed, oriented manifold M. In this paper we will use the …

M. Gerstenhaber [8] showed that for any associative algebra A, the Hochschild-cohomology
H•(A, A) has a Gerstenhaber-structure. More precisely, H•(A, A) has a Gerstenhaber-bracket …

Let M be a closed, connected manifold, and LM its loop space. In this paper we describe
closed string topology operations in h∗(LM), where h∗ is a generalized homology theory …

Homological algebra related to surfaces with boundary Page 1 Quantum Topol. 11 (2020),
691–837 DOI 10.4171/QT/144 Quantum Topology © European Mathematical Society …

The critical points of the length function on the free loop space Λ (M) of a compact
Riemannian manifold M are the closed geodesics on M. The length function gives a filtration …