Unstable pseudo-isotopies of spherical 3-manifolds

Yuji Ohta; Tadayuki Watanabe

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arXiv · 2303.13877

Unstable pseudo-isotopies of spherical 3-manifolds

Yuji Ohta·Tadayuki Watanabe

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Abstract

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 $X=M\times I$, where $M$ is a spherical 3-manifold. For some of such $X$, we compute lower bounds of the ranks of the abelian groups $\pi_0\mathrm{Diff}(X,\partial)$. We study the behavior of the elements constructed by theta-graph surgery under the suspension functor in stable pseudo-isotopy theory, and their triviality in the space of block diffeomorphisms.

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BibTeX RIS

Yuji Ohta, Tadayuki Watanabe. 2023-03-24. Unstable pseudo-isotopies of spherical 3-manifolds. https://arxiv.org/abs/2303.13877

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