Volume 15, issue 4 (2015)

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

Volume 20
Issue 7, 3219–3760
Issue 6, 2687–3218
Issue 5, 2145–2685
Issue 4, 1601–2143
Issue 3, 1073–1600
Issue 2, 531–1072
Issue 1, 1–529

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
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
The fundamental group and Betti numbers of toric origami manifolds

Tara S Holm and Ana Rita Pires

Algebraic & Geometric Topology 15 (2015) 2393–2425
Bibliography
1 M F Atiyah, Convexity and commuting Hamiltonians, Bull. London Math. Soc. 14 (1982) 1 MR642416
2 M Ayzenberg A. Masuda, H Zeng, Cohomology of toric origami manifolds with acyclic proper faces, (2014) arXiv:1407.0764
3 M S Borman, Y Eliashberg, E Murphy, Existence and classification of overtwisted contact structures in all dimensions, preprint (2014) arXiv:1404.6157
4 A Cannas da Silva, Lectures on symplectic geometry, Lecture Notes in Mathematics 1764, Springer (2001) MR1853077
5 A Cannas da Silva, V Guillemin, A R Pires, Symplectic origami, Int. Math. Res. Not. 2011 (2011) 4252 MR2836021
6 D A Cox, J B Little, H K Schenck, Toric varieties, Graduate Studies in Mathematics 124, Amer. Math. Soc. (2011) MR2810322
7 V I Danilov, The geometry of toric varieties, Uspekhi Mat. Nauk 33 (1978) 85 MR495499
8 T Delzant, Hamiltoniens périodiques et images convexes de l'application moment, Bull. Soc. Math. France 116 (1988) 315 MR984900
9 W Fulton, Introduction to toric varieties, Annals of Mathematics Studies 131, Princeton Univ. Press (1993) MR1234037
10 R L Graham, M Grötschel, L Lovász, editors, Handbook of combinatorics, Elsevier (1995) MR1373655
11 V Guillemin, S Sternberg, Geometric quantization and multiplicities of group representations, Invent. Math. 67 (1982) 515 MR664118
12 A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
13 T S Holm, A R Pires, The topology of toric origami manifolds, Math. Res. Lett. 20 (2013) 885 MR3207359
14 S Luo, Cohomology rings of good contact toric manifolds, (2012) arXiv:1012.2146
15 W S Massey, Algebraic topology: An introduction, Graduate Texts in Mathematics 56, Springer (1977) MR0448331
16 M Masuda, T Panov, On the cohomology of torus manifolds, Osaka J. Math. 43 (2006) 711 MR2283418
17 M Masuda, S Park, Toric origami manifolds and multi-fans, Proc. Steklov Math. Inst. 286 (2014) 308
18 J Møller, From singular chains to Alexander duality, lecture notes (2008)
19 P Orlik, F Raymond, Actions of the torus on $4$–manifolds II, Topology 13 (1974) 89 MR0348779
20 P S Pao, The topological structure of $4$–manifolds with effective torus actions I, Trans. Amer. Math. Soc. 227 (1977) 279 MR0431231