Volume 15, issue 2 (2015)

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

Volume 20
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
Invariance of Pontrjagin classes for Bott manifolds

Suyoung Choi, Mikiya Masuda and Satoshi Murai

Algebraic & Geometric Topology 15 (2015) 965–986
Bibliography
1 A Borel, F Hirzebruch, Characteristic classes and homogeneous spaces, I, Amer. J. Math. 80 (1958) 458 MR0102800
2 S Choi, Classification of Bott manifolds up to dimension eight, arXiv:1112.2321
3 S Choi, M Masuda, Classification of $\mathbb Q$–trivial Bott manifolds, J. Symplectic Geom. 10 (2012) 447 MR2983437
4 S Choi, M Masuda, D Y Suh, Topological classification of generalized Bott towers, Trans. Amer. Math. Soc. 362 (2010) 1097 MR2551516
5 S Choi, M Masuda, D Y Suh, Rigidity problems in toric topology: A survey, Tr. Mat. Inst. Steklova 275 (2011) 188 MR2962979
6 S Choi, T E Panov, D Y Suh, Toric cohomological rigidity of simple convex polytopes, J. Lond. Math. Soc. 82 (2010) 343 MR2725043
7 S Choi, D Y Suh, Properties of Bott manifolds and cohomological rigidity, Algebr. Geom. Topol. 11 (2011) 1053 MR2792373
8 Y Civan, N Ray, Homotopy decompositions and $K\!$–theory of Bott towers, $K\!$–Theory 34 (2005) 1 MR2162899
9 D Crowley, M Kreck, Hirzebruch surfaces, Bulletin of the Manifold Atlas (2011)
10 H Ishida, Filtered cohomological rigidity of Bott towers, Osaka J. Math. 49 (2012) 515 MR2945760
11 Manifold atlas project, Petrie conjecture, electronic resource
12 M Masuda, Unitary toric manifolds, multi-fans and equivariant index, Tohoku Math. J. 51 (1999) 237 MR1689995
13 M Masuda, T E Panov, On the cohomology of torus manifolds, Osaka J. Math. 43 (2006) 711 MR2283418
14 M Masuda, T E Panov, Semi-free circle actions, Bott towers, and quasitoric manifolds, Mat. Sb. 199 (2008) 95 MR2452268
15 M Masuda, D Y Suh, Classification problems of toric manifolds via topology, from: "Toric topology" (editors M Harada, Y Karshon, M Masuda, T E Panov), Contemp. Math. 460, Amer. Math. Soc. (2008) 273 MR2428362
16 T Petrie, Smooth $S^{1}$ actions on homotopy complex projective spaces and related topics, Bull. Amer. Math. Soc. 78 (1972) 105 MR0296970
17 T Petrie, Torus actions on homotopy complex projective spaces, Invent. Math. 20 (1973) 139 MR0322893
18 D Sullivan, Infinitesimal computations in topology, Inst. Hautes Études Sci. Publ. Math. (1977) 269 MR0646078
19 M Wiemeler, Torus manifolds and non-negative curvature, arXiv:1401.0403