In this article, we construct countably many mutually non-isotopic diffeomorphisms of some
closed non simply-connected 4-manifolds that are homotopic to but not isotopic to the …

Let M be a closed oriented 3-manifold with first Betti number one. Its equivariant linking
pairing may be seen as a two-dimensional cohomology class in an appropriate infinite cyclic …

Let M be a closed oriented 3-manifold with first Betti number one. Its equivariant linking
pairing may be seen as a two-dimensional cohomology class in an appropriate infinite cyclic …

The 2–loop polynomial of a knot is a polynomial characterizing the 2–loop part of the
Kontsevich invariant of the knot. An aim of this paper is to give a methodology to calculate …

In a previous article, we constructed an invariant Z for null-homologous knots in rational
homology spheres, from equivariant intersections in configuration spaces. Here we present …

In our previous works, we constructed diffeomorphisms of compact 4-manifolds $ X $ by
surgeries on theta-graphs embedded in $ X $. In this paper, we consider the case $ X …

For a 3-manifold $ M $ with $ b_1 (M)= 1$ fibered over $ S^ 1$ and the fiberwise gradient
$\xi $ of a fiberwise Morse function on $ M $, we introduce the notion of amidakuji-like path …

We apply Lescop's construction of $\mathbb {Z} $-equivariant perturbative invariant of knots
and 3-manifolds to the explicit equivariant propagator of" AL-paths" given in arXiv …

The quantum U (1) invariant of a closed 3-manifold M is defined from the linking matrix of a
framed link of a surgery presentation of M. As an equivariant version of it, we formulate an …

In this article, manifolds and maps between them are assumed to be C∞, spaces of
mappings between manifolds are equipped with the weak C∞-topology. For a compact …