Minimal genus four-manifolds
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- by José Román Aranda Cuevas PDF
- Proc. Amer. Math. Soc. 148 (2020), 441-445 Request permission
Abstract:
In 2018, M. Chu and S. Tillmann gave a lower bound for the trisection genus of a closed 4-manifold in terms of the Euler characteristic of $M$ and the rank of its fundamental group. We show that given a group $G$, there exists a 4-manifold $M$ with fundamental group $G$ with trisection genus achieving Chu-Tillmann’s lower bound.References
- M. Chu and S. Tillmann, Reflections on trisection genus, arXiv preprint, arXiv:1809.04801 (2018).
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- Jeffrey Meier, Trent Schirmer, and Alexander Zupan, Classification of trisections and the generalized property R conjecture, Proc. Amer. Math. Soc. 144 (2016), no. 11, 4983–4997. MR 3544545, DOI 10.1090/proc/13105
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Additional Information
- José Román Aranda Cuevas
- Affiliation: Department of Mathematics, University of Iowa, Iowa City, Iowa 52242
- Email: jose-arandacuevas@uiowa.edu
- Received by editor(s): January 24, 2019
- Received by editor(s) in revised form: April 12, 2019, and April 23, 2019
- Published electronically: July 30, 2019
- Communicated by: David Futer
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 441-445
- MSC (2010): Primary 57N13
- DOI: https://doi.org/10.1090/proc/14689
- MathSciNet review: 4042865