Algebraic & Geometric Topology Volume 21, issue 7 (2021)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

Equivariant cohomological rigidity of certain $T$–manifolds

Soumen Sarkar and Jongbaek Song

Algebraic & Geometric Topology 21 (2021) 3601–3622

DOI: 10.2140/agt.2021.21.3601

Bibliography

1	M F Atiyah, Convexity and commuting Hamiltonians, Bull. Lond. Math. Soc. 14 (1982) 1 MR642416
2	G E Bredon, Topology and geometry, 139, Springer (1993) MR1224675
3	W Bruns, J Gubeladze, Combinatorial invariance of Stanley–Reisner rings, Georgian Math. J. 3 (1996) 315 MR1397814
4	V M Buchstaber, T E Panov, Torus actions and their applications in topology and combinatorics, 24, Amer. Math. Soc. (2002) MR1897064
5	V M Buchstaber, T E Panov, Toric topology, 204, Amer. Math. Soc. (2015) MR3363157
6	V M Buchstaber, S Terzić, The foundations of (2n,k)–manifolds, Mat. Sb. 210 (2019) 41 MR3942833
7	V M Buchstaber, S Terzić, Toric topology of the complex Grassmann manifolds, Mosc. Math. J. 19 (2019) 397 MR3993003
8	J S Calcut, R E Gompf, J D McCarthy, On fundamental groups of quotient spaces, Topology Appl. 159 (2012) 322 MR2852978
9	D A Cox, J B Little, H K Schenck, Toric varieties, 124, Amer. Math. Soc. (2011) MR2810322
10	M W Davis, T Januszkiewicz, Convex polytopes, Coxeter orbifolds and torus actions, Duke Math. J. 62 (1991) 417 MR1104531
11	T Delzant, Hamiltoniens périodiques et images convexes de l’application moment, Bull. Soc. Math. France 116 (1988) 315 MR984900
12	M Franz, The cohomology rings of smooth toric varieties and quotients of moment-angle complexes, Geom. Topol. 25 (2021) 2109 MR4286370
13	W Fulton, Introduction to toric varieties, 131, Princeton Univ. Press (1993) MR1234037
14	M Goresky, R Kottwitz, R MacPherson, Equivariant cohomology, Koszul duality, and the localization theorem, Invent. Math. 131 (1998) 25 MR1489894
15	V Guillemin, S Sternberg, Convexity properties of the moment mapping, Invent. Math. 67 (1982) 491 MR664117
16	V Guillemin, C Zara, 1–skeleta, Betti numbers, and equivariant cohomology, Duke Math. J. 107 (2001) 283 MR1823050
17	S Kuroki, Equivariant cohomology distinguishes the geometric structures of toric hyperkähler manifolds, Tr. Mat. Inst. Steklova 275 (2011) 262 MR2962985
18	E Lerman, Contact toric manifolds, J. Symplectic Geom. 1 (2003) 785 MR2039164
19	E Lerman, Homotopy groups of K–contact toric manifolds, Trans. Amer. Math. Soc. 356 (2004) 4075 MR2058839
20	M Masuda, Equivariant cohomology distinguishes toric manifolds, Adv. Math. 218 (2008) 2005 MR2431667
21	M Masuda, T Panov, On the cohomology of torus manifolds, Osaka J. Math. 43 (2006) 711 MR2283418
22	J McCleary, A user’s guide to spectral sequences, 58, Cambridge Univ. Press (2001) MR1793722
23	T Oda, Convex bodies and algebraic geometry: an introduction to the theory of toric varieties, 15, Springer (1988) MR922894
24	S Sarkar, D Y Suh, A new construction of lens spaces, Topology Appl. 240 (2018) 1 MR3784393
25	G M Ziegler, Lectures on polytopes, 152, Springer (1995) MR1311028