Volume 20, issue 1 (2020)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25, 1 issue

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Trisections of surface complements and the Price twist

Seungwon Kim and Maggie Miller

Algebraic & Geometric Topology 20 (2020) 343–373
Bibliography
1 A Abrams, D T Gay, R Kirby, Group trisections and smooth 4–manifolds, Geom. Topol. 22 (2018) 1537 MR3780440
2 S Akbulut, Constructing a fake 4–manifold by Gluck construction to a standard 4–manifold, Topology 27 (1988) 239 MR948185
3 S Akbulut, Twisting 4–manifolds along ℝℙ2, from: "Proceedings of the Gökova Geometry–Topology Conference 2009" (editors S Akbulut, D Auroux, T Önder), International (2010) 137 MR2655307
4 S Akbulut, K Yasui, Corks, plugs and exotic structures, J. Gökova Geom. Topol. 2 (2008) 40 MR2466001
5 N A Castro, Relative trisections of smooth 4–manifolds with boundary, PhD thesis, University of Georgia (2015)
6 N A Castro, D T Gay, J Pinzón-Caicedo, Diagrams for relative trisections, Pacific J. Math. 294 (2018) 275 MR3770114
7 N A Castro, D T Gay, J Pinzón-Caicedo, Trisections of 4–manifolds with boundary, Proc. Natl. Acad. Sci. USA 115 (2018) 10861 MR3871788
8 N A Castro, B Ozbagci, Trisections of 4–manifolds via Lefschetz fibrations, Math. Res. Lett. 26 (2019) 383 MR3999550
9 D Gay, R Kirby, Trisecting 4–manifolds, Geom. Topol. 20 (2016) 3097 MR3590351
10 D Gay, J Meier, Doubly pointed trisection diagrams and surgery on 2–knots, preprint (2018) arXiv:1806.05351
11 S Kamada, Projective planes in 4–sphere obtained by deform-spinnings, from: "Knots 90" (editor A Kawauchi), de Gruyter (1992) 125 MR1177417
12 S Kamada, A characterization of groups of closed orientable surfaces in 4–space, Topology 33 (1994) 113 MR1259518
13 A Katanaga, O Saeki, M Teragaito, Y Yamada, Gluck surgery along a 2–sphere in a 4–manifold is realized by surgery along a projective plane, Michigan Math. J. 46 (1999) 555 MR1721575
14 P Lambert-Cole, Bridge trisections in ℂℙ2 and the Thom conjecture, preprint (2018) arXiv:1807.10131
15 F Laudenbach, V Poénaru, A note on 4–dimensional handlebodies, Bull. Soc. Math. France 100 (1972) 337 MR317343
16 J Meier, T Schirmer, A Zupan, Classification of trisections and the generalized property R conjecture, Proc. Amer. Math. Soc. 144 (2016) 4983 MR3544545
17 J Meier, A Zupan, Bridge trisections of knotted surfaces in S4, Trans. Amer. Math. Soc. 369 (2017) 7343 MR3683111
18 J Meier, A Zupan, Bridge trisections of knotted surfaces in 4–manifolds, Proc. Natl. Acad. Sci. USA 115 (2018) 10880 MR3871791
19 P Naylor, Trisection diagrams and twists of 4–manifolds, preprint (2019) arXiv:1906.01495
20 T M Price, Homeomorphisms of quaternion space and projective planes in four space, J. Austral. Math. Soc. Ser. A 23 (1977) 112 MR436151