The based SU(n)-instanton moduli spaces.
The cohomology algebra of certain free loop spaces
Let X be a simply connected space and LX the space of free loops on X. We determine the mod p cohomology algebra of LX when the mod p cohomology of X is generated by one element or is an exterior algebra on two generators. We also provide lower bounds on the dimensions of the Hodge decomposition factors of the rational cohomology of LX when the rational cohomology of X is a graded complete intersection algebra. The key to both of these results is the identification of an important subalgebra of...
The cohomology ring of free loop spaces.
The compression theorem III: Applications.
The cyclic groups and the free loop space.
The double bar and cobar constructions
The Hochschild cohomology ring of the singular cochain algebra of a space
We determine the algebra structure of the Hochschild cohomology of the singular cochain algebra with coefficients in a field on a space whose cohomology is a polynomial algebra. A spectral sequence calculation of the Hochschild cohomology is also described. In particular, when the underlying field is of characteristic two, we determine the associated bigraded Batalin-Vilkovisky algebra structure on the Hochschild cohomology of the singular cochain on a space whose cohomology is an exterior algebra....
The homology and Morava K-theory of ..2SU(n).
The homology of Ω(X v Y).
The Loops on the Suspension of a Space with Multiplication.
The Milgram non-operad
C. Berger claimed to have constructed an -operad-structure on the permutohedras, whose associated monad is exactly the Milgram model for the free loop spaces. In this paper I will show that this statement is not correct.
The Milnor-Moore theorem in Tame Homotopy theory.
The normalizer splitting conjecture for p-compact groups
Let X be a p-compact group, with maximal torus BT → BX, maximal torus normalizer BN and Weyl group . We prove that for an odd prime p, the fibration has a section, which is unique up to vertical homotopy.
The Radius of Convergence of Poincaré Series of Loop Spaces.
The space of intervals in a Euclidean space.
The Suspension of the Loops on a Space with Comultiplication.
The tangent bundle of an almost-complex free loopspace.
The Unstable Decomposition of ...X and Its Applications.
Torsion in loop space homology.