Zobrazeno 1 - 10
of 198
pro vyhledávání: '"57K40"'
Autor:
Malech, Oliviero
We show that many explicit examples of exotic pairs of surfaces in a smooth 4-manifold become smoothly isotopic after one external stabilization with $S^2\times S^2$ or $CP^2\#\overline{CP^2}$. Our results cover surfaces produced by rim-surgery, twis
Externí odkaz:
http://arxiv.org/abs/2409.20249
All checkerboard surfaces for a given knot in $S^3$ are related by isotopy and "kinking" and "unkinking" moves, which change the surfaces' Goeritz matrices like this: $G\leftrightarrow G\oplus [\pm1]=\left[\begin{smallmatrix} G&\mathbf{0}\\ \mathbf{0
Externí odkaz:
http://arxiv.org/abs/2409.12858
We classify Legendrian realisations, up to coarse equivalence, of the Hopf link in the lens spaces L(p,1) with any contact structure.
Comment: 28 pages, 15 figures
Comment: 28 pages, 15 figures
Externí odkaz:
http://arxiv.org/abs/2409.02582
Autor:
Gay, David T.
Watanabe's theta graph diffeomorphism, constructed using Watanabe's clasper surgery construction which turns trivalent graphs in 4-manifolds into parameterized families of diffeomorphisms of 4-manifolds, is a diffeomorphism of $S^4$ representing a po
Externí odkaz:
http://arxiv.org/abs/2408.01324
Autor:
Kosanović, Danica
Motivated by recent results on diffeomorphisms, this paper investigates fundamental groups of spaces of embeddings of $S^1$ and $S^1\times D^3$ in 4-manifolds. We express the latter (framed) case in terms of the former, and study examples of the form
Externí odkaz:
http://arxiv.org/abs/2407.06923
We prove a localization theorem for exotic diffeomorphisms, showing that every diffeomorphism of a compact simply-connected 4-manifold that is isotopic to the identity after stabilizing with one copy of $S^2 \times S^2$, is smoothly isotopic to a dif
Externí odkaz:
http://arxiv.org/abs/2407.04696
Autor:
Takahashi, Natsuya
We show the existence of a $4$-manifold with boundary that admits two non-diffeomorphic minimal genus relative trisections of the same $(g,k;p,b)$-type. To prove this, we introduce a simple operation that produces a trisection diagram of a closed $4$
Externí odkaz:
http://arxiv.org/abs/2406.03113
Autor:
Liu, Beibei, Piccirillo, Lisa
We provide new examples of 3-manifolds with weight one fundamental group and the same integral homology as the lens space $L(2k,1)$ which are not surgery on any knot in the three-sphere. Our argument uses Furuta's 10/8-theorem, and is simple and comb
Externí odkaz:
http://arxiv.org/abs/2405.16904
Autor:
Galvin, Daniel A. P.
We investigate the realisability of the Casson-Sullivan invariant for homeomorphisms of smooth $4$-manifolds, which is the obstruction to a homeomorphism being stably pseudo-isotopic to a diffeomorphism, valued in the third cohomology of the source m
Externí odkaz:
http://arxiv.org/abs/2405.07928
Kreck's modified surgery gives an approach to classifying smooth $2n$-manifolds up to stable diffeomorphism, i.e. up to connected sum with copies of $S^n \times S^n$. In dimension 4, we use a combination of modified and classical surgery to study var
Externí odkaz:
http://arxiv.org/abs/2405.06637