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Homotopy commutativity in quasitoric manifolds

Sho Hasui, Daisuke Kishimoto, Yichen Tong and Mitsunobu Tsutaya

Algebraic & Geometric Topology 26 (2026) 1549–1564
DOI: 10.2140/agt.2026.26.1549
Bibliography
1 S A Abramyan, Iterated higher Whitehead products in the topology of moment-angle complexes, Sibirsk. Mat. Zh. 60 (2019) 243 MR3951145
2 S A Abramyan, T E Panov, Higher Whitehead products for moment-angle complexes and substitutions of simplicial complexes, Tr. Mat. Inst. Steklova 305 (2019) 7 MR4017598
3 J F Adams, On the non-existence of elements of Hopf invariant one, Ann. of Math. (2) 72 (1960) 20 MR141119
4 M G Barratt, I M James, N Stein, Whitehead products and projective spaces, J. Math. Mech. 9 (1960) 813 MR116331
5 A L Blakers, W S Massey, Products in homotopy theory, Ann. of Math. (2) 58 (1953) 295 MR60820
6 V M Buchstaber, T E Panov, Torus actions and their applications in topology and combinatorics, 24, Amer. Math. Soc. (2002) MR1897064
7 S Choi, M Masuda, D Y Suh, Quasitoric manifolds over a product of simplices, Osaka J. Math. 47 (2010) 109 MR2666127
8 M W Davis, T Januszkiewicz, Convex polytopes, Coxeter orbifolds and torus actions, Duke Math. J. 62 (1991) 417 MR1104531
9 N È Dobrinskaya, Higher commutators in the loop homology of K-products, Tr. Mat. Inst. Steklova 266 (2009) 97 MR2603262
10 N Dobrinskaya, Loops on polyhedral products and diagonal arrangements, (2009) arXiv:0901.2871
11 Y Félix, S Halperin, J C Thomas, Rational homotopy theory, 205, Springer (2001) MR1802847
12 T Ganea, A generalization of the homology and homotopy suspension, Comment. Math. Helv. 39 (1965) 295 MR179791
13 T Ganea, On the loop spaces of projective spaces, J. Math. Mech. 16 (1967) 853 MR206950
14 J Grbić, T Panov, S Theriault, J Wu, The homotopy types of moment-angle complexes for flag complexes, Trans. Amer. Math. Soc. 368 (2016) 6663 MR3461047
15 K Iriye, D Kishimoto, Fat-wedge filtration and decomposition of polyhedral products, Kyoto J. Math. 59 (2019) 1 MR3934622
16 K Iriye, D Kishimoto, Whitehead products in moment-angle complexes, J. Math. Soc. Japan 72 (2020) 1239 MR4165931
17 I M James, On the homotopy groups of certain pairs and triads, Quart. J. Math. Oxford Ser. (2) 5 (1954) 260 MR68837
18 S Kaji, D Kishimoto, Homotopy nilpotency in p-regular loop spaces, Math. Z. 264 (2010) 209 MR2564939
19 D Kishimoto, T Matsushita, R Yoshise, Jacobi identity in polyhedral products, Topology Appl. 312 (2022) 108079 MR4400590
20 D Kishimoto, Y Minowa, T Miyauchi, Y Tong, Homotopy commutativity in symmetric spaces, Bol. Soc. Mat. Mex. (3) 30 (2024) 42 MR4732967
21 D Kishimoto, M Takeda, Y Tong, Homotopy commutativity in Hermitian symmetric spaces, Glasg. Math. J. 64 (2022) 746 MR4462390
22 H Samelson, A connection between the Whitehead and the Pontryagin product, Amer. J. Math. 75 (1953) 744 MR60819
23 H Toda, On the double suspension E2, J. Inst. Polytech. Osaka City Univ. Ser. A 7 (1956) 103 MR92968
24 F D Williams, Higher homotopy-commutativity, Trans. Amer. Math. Soc. 139 (1969) 191 MR240818
25 E G Zhuravleva, Adams–Hilton models and higher Whitehead brackets for polyhedral products, Tr. Mat. Inst. Steklova 317 (2022) 107 MR4538825