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Bibliographic Details
Main Author: Torres, Rafael
Format: Preprint
Published: 2020
Subjects:
Online Access:https://arxiv.org/abs/2005.11696
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author Torres, Rafael
author_facet Torres, Rafael
contents We point out that recent constructions of inequivalent smooth structures yield a manufacturing procedure of infinite sets of pairwise smoothly non-isotopic nullhomologous 2-tori and spheres inside a myriad of 4-manifolds. The corresponding infinite set consists of topologically isotopic surfaces that topologically bound a handlebody in several instances.
format Preprint
id arxiv_https___arxiv_org_abs_2005_11696
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Smoothly knotted and topologically unknotted nullhomologous surfaces in 4-manifolds
Torres, Rafael
Geometric Topology
We point out that recent constructions of inequivalent smooth structures yield a manufacturing procedure of infinite sets of pairwise smoothly non-isotopic nullhomologous 2-tori and spheres inside a myriad of 4-manifolds. The corresponding infinite set consists of topologically isotopic surfaces that topologically bound a handlebody in several instances.
title Smoothly knotted and topologically unknotted nullhomologous surfaces in 4-manifolds
topic Geometric Topology
url https://arxiv.org/abs/2005.11696