LetM be a closed, oriented manifold of dimension d. LetLM be the space of smooth loops inM. In [2] Chas and Sullivan defined a product on the homology Hâˆ—(LM) of degreeâˆ’d. They then investigated otherâ€¦ (More)

In their article [9] on cyclic homology, Feigin and Tsygan have given a spectral sequence for the cyclic homology of a crossed product algebra, generalizing Burgheleaâ€™s calculation [4] of the cyclicâ€¦ (More)

The purpose of this paper is to explore the relationship between the cyclic homology and cohomology theories of Connes [9-11], see also Loday and Quillen [20], and "IF equivariant homology andâ€¦ (More)

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 homotopy theoreticâ€¦ (More)

x1 Introduction This paper is a progress report on our eeorts to understand the homotopy theory underlying Floer homology; its objectives are as follows: (A) To describe some of our ideas concerningâ€¦ (More)

In this article, we present a model for the differential graded algebra (dga) of differential forms on the free loop space LX of a smooth manifold X and show how to construct certain importantâ€¦ (More)

In this paper we study the question of when does a closed, simply connected, integral symplectic manifold (X,Ï‰) have the stability property for its spaces of based holomorphic spheres? This propertyâ€¦ (More)

In this paper we use relations amongst Toda brackets and a lot of detailed information about the homotopy groups of spheres to show that there exists a 62-dimensional framed manifold with Kervaireâ€¦ (More)