Algebraic & Geometric Topology Volume 9, issue 4 (2009)

Download this article
	For screen
	For printing

Recent 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

Cohomological rigidity of real Bott manifolds

Yoshinobu Kamishima and Mikiya Masuda

Algebraic & Geometric Topology 9 (2009) 2479–2502

DOI: 10.2140/agt.2009.9.2479

Bibliography

1	A Borel, F Hirzebruch, Characteristic classes and homogeneous spaces. I, Amer. J. Math. 80 (1958) 458 MR0102800
2	V M Buchstaber, Circle actions on toric manifolds and their applications, MIMS EPrint: 2006.12
3	V M Buchstaber, T E Panov, Torus actions and their applications in topology and combinatorics, 24, Amer. Math. Soc. (2002) MR1897064
4	S Choi, The number of small covers over cubes, Algebr. Geom. Topol. 8 (2008) 2391 MR2465745
5	S Choi, M Masuda, D Y Suh, Quasitoric manifolds over a product of simplices, Osaka J. Math. (to appear) arXiv:0803.2749
6	S Choi, M Masuda, D Y Suh, Topological classification of generalized Bott towers, Trans. Amer. Math. Soc. (2010) 1097
7	M W Davis, T Januszkiewicz, Convex polytopes, Coxeter orbifolds and torus actions, Duke Math. J. 62 (1991) 417 MR1104531
8	A Garrison, R Scott, Small covers of the dodecahedron and the 120-cell, Proc. Amer. Math. Soc. 131 (2003) 963 MR1937435
9	M Grossberg, Y Karshon, Bott towers, complete integrability, and the extended character of representations, Duke Math. J. 76 (1994) 23 MR1301185
10	G Hochschild, J P Serre, Cohomology of group extensions, Trans. Amer. Math. Soc. 74 (1953) 110 MR0052438
11	P Kleinschmidt, A classification of toric varieties with few generators, Aequationes Math. 35 (1988) 254 MR954243
12	S Mac Lane, Homology, 114, Academic Press (1963) MR0156879
13	M Masuda, Equivariant cohomology distinguishes toric manifolds, Adv. Math. 218 (2008) 2005 MR2431667
14	M Masuda, Classification of real Bott manifolds arXiv:0809.2178
15	M Masuda, Cohomological non-rigidity of generalized real Bott manifolds of height 2, Proc. of the Steklov Institute dedicated to the 100th Anniversary of L S Pontryagin (to appear) arXiv:0809.2215
16	M Masuda, T E Panov, Semi-free circle actions, Bott towers, and quasitoric manifolds, Mat. Sb. 199 (2008) 95 MR2452268
17	M Masuda, D Y Suh, Classification problems of toric manifolds via topology, from: "Toric topology", Contemp. Math. 460, Amer. Math. Soc. (2008) 273 MR2428362
18	G D Mostow, Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms, Inst. Hautes Études Sci. Publ. Math. (1968) 53 MR0236383
19	A Nazra, Real Bott tower, Masters thesis, Tokyo Metropolitan University (2008) (A summary can be found in Diffeomorphism type of real Bott towers, Geometry of transformation groups and related topics, RIMS Kôkyûroku No. 1612, Kyoto University, (2008) 165–176)
20	T Oda, Convex bodies and algebraic geometry, 3:15, Springer (1988) MR922894
21	S Payne, Topology of real toric surfaces arXiv:math.AG/0411265.
22	H Sato, Smooth toric Fano five-folds of index two, Proc. Japan Acad. Ser. A Math. Sci. 82 (2006) 106 MR2265609
23	V Uma, On the fundamental group of real toric varieties, Proc. Indian Acad. Sci. Math. Sci. 114 (2004) 15 MR2040597
24	J A Wolf, Spaces of constant curvature, Publish or Perish (1984) MR928600