Volume 15, issue 2 (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
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