9 citations · 30 across the 15 of their papers we have counts for
15 papers · 1 filter
Theta-invariants of -homology equivalences to spherical 3-manifolds
Hisatoshi Kodani, Tadayuki Watanabe
We study Bott and Cattaneo's -invariant of 3-manifolds applied to -homology equivalences from 3-manifolds to a fixed spherical 3-manifold. The -invariants are de…
Unstable pseudo-isotopies of spherical 3-manifolds
Yuji Ohta, Tadayuki Watanabe
In our previous works, we constructed diffeomorphisms of compact 4-manifolds by surgeries on theta-graphs embedded in . In this paper, we consider the case , wh…
Families of diffeomorphisms and concordances detected by trivalent graphs
Boris Botvinnik, Tadayuki Watanabe
We study families of diffeomorphisms detected by trivalent graphs via the Kontsevich classes. We specify some recent results and constructions of the second named author to show th…
Addendum to: Some exotic nontrivial elements of the rational homotopy groups of (homological interpretation)
Tadayuki Watanabe
In this addendum, we give a differential form interpretation of the proof of the main theorem of arXiv:1812.02448, which gives lower bounds of the dimensions of $π_k(B\mathrm{Diff}…
Theta-graph and diffeomorphisms of some 4-manifolds
Tadayuki Watanabe
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 ide…
Some exotic nontrivial elements of the rational homotopy groups of
Tadayuki Watanabe
This paper studies the rational homotopy groups of the group of self-diffeomorphisms of with the -topology. We present a method to prove that t…