@article{b3eef4db83554ce2a143a12be2d79be5,
title = "Corks with Large Shadow-Complexity and Exotic Four-Manifolds",
abstract = "We construct an infinite family (Formula presented.) of corks of Mazur type satisfying (Formula presented.) for any positive integer n. Using these corks, we construct an infinite family (Formula presented.) of exotic pairs of 4-manifolds with boundary whose special shadow-complexities satisfy the above inequalities. We also discuss exotic pairs with small shadow-complexity.",
keywords = "4-manifolds, corks, exotic pairs, shadow-complexity",
author = "Hironobu Naoe",
note = "Funding Information: The author is supported by JSPS KAKENHI Grant Number 17J02915. The author would like to thank his supervisor Masaharu Ishikawa for his encouragement and useful comments. The author would also like to thank Daniel Ruberman for valuable private communications and letting him know the examples of corks mentioned in Remark 3.7. Publisher Copyright: {\textcopyright} 2018 Taylor & Francis.",
year = "2021",
doi = "10.1080/10586458.2018.1514332",
language = "English",
volume = "30",
pages = "157--171",
journal = "Experimental Mathematics",
issn = "1058-6458",
publisher = "A K Peters",
number = "2",
}