We show that the Hochschild-Pirashvili homology on any suspension admits the so called
Hodge splitting. For a map between suspensions $ f\colon\Sigma Y\to\Sigma Z $, the …

We study the spaces of embeddings of manifolds in a Euclidean space. More precisely we
look at the homotopy fiber of the inclusion of these spaces to the spaces of immersions. As a …

This online-only material supplements the article “Euler characteristics for spaces of string
links and the modular envelope of L∞,” published in Homology, Homotopy and …

Arone and the second author showed that when the dimensions are in the stable range, the
rational homology and homotopy of the high-dimensional analogues of spaces of long knots …

Non-Formality of the Odd Dimensional Framed Little Balls Operads | International Mathematics
Research Notices | Oxford Academic Skip to Main Content Advertisement Oxford Academic …

For an integer $ r\ge 2$, the space of $ r $-immersions of $ M $ in $\mathbb R^ n $ is defined
to be the space of immersions of $ M $ in $\mathbb R^ n $ such that at most $ r-1$ points of …

For an integer r≥ 2, the space of r-immersions of M in Rn is defined to be the space of
immersions of M in Rn such that at most r− 1 points of M are mapped to the same point in …

We study the beginning of the Taylor tower, supplied by manifold calculus of functors, for the
space of r-immersions, which are immersions without r-fold self-intersections. We describe …

Manifold calculus of functors has in recent years been successfully used in the study of the
topology of various spaces of embeddings of one manifold in another. Given a space of …

Manifold calculus of functors has in recent years been successfully used in the study of the
topology of various spaces of embeddings of one manifold in another. Given a space of …