We prove that the rank of the cohomology of a closed symplectic manifold with coefficients in
a field of characteristic $ p $ is smaller than the number of periodic orbits of any non …

This paper interprets Hesselholt and Madsen's real topological Hochschild homology functor
THR in terms of the multiplicative norm construction. We show that THR satisfies cofinality …

We prove that in dimension≠ 4, 5, 7 the homology and homotopy groups of the classifying
space of the topological group of diffeomorphisms of a disk fixing the boundary are finitely …

Given a graded E 1–module over an E 2–algebra in spaces, we construct an augmented
semi-simplicial space up to higher coherent homotopy over it, called its canonical resolution …

Alexander Trick for Homology Spheres | International Mathematics Research Notices | Oxford
Academic Skip to Main Content Advertisement Oxford Academic Journals Books Search Menu …

We define a ℤ∕ 2-equivariant real algebraic K-theory spectrum KR (A), for every ℤ∕ 2-
equivariant spectrum A equipped with a compatible multiplicative structure. This construction …

We construct a zig–zag from the once delooped space of pseudoisotopies of a closed 2 n-
disc to the once looped algebraic K-theory space of the integers and show that the maps …

We develop Weiss's manifold calculus in the setting of $\infty $-categories, where we allow
the target $\infty $-category to be any $\infty $-category with small limits. We will establish …

We prove a general homological stability theorem for certain families of groups equipped
with product maps, followed by two theorems of a new kind that give information about the …

A well-known property of unordered configuration spaces of points (in an open, connected
manifold) is that their homology stabilises as the number of points increases. We generalise …