Corks with Large Shadow-Complexity and Exotic Four-Manifolds

Hironobu Naoe

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
JournalExperimental Mathematics
DOIs
Publication statusAccepted/In press - 2018 Jan 1

Keywords

  • 4-manifolds
  • corks
  • exotic pairs
  • shadow-complexity

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Corks with Large Shadow-Complexity and Exotic Four-Manifolds'. Together they form a unique fingerprint.

Cite this