Algebraic & Geometric Topology Volume 18, issue 1 (2018)

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Loop homology of some global quotient orbifolds

Yasuhiko Asao

Algebraic & Geometric Topology 18 (2018) 613–633

DOI: 10.2140/agt.2018.18.613

Bibliography

1	A Adem, J Leida, Y Ruan, Orbifolds and stringy topology, 171, Cambridge Univ. Press (2007) MR2359514
2	A Ángel, E Backelin, B Uribe, Hochschild cohomology and string topology of global quotient orbifolds, J. Topol. 5 (2012) 593 MR2971608
3	M Chas, D Sullivan, String topology, preprint (1999) arXiv:math.GT/9911159
4	D Chataur, L Menichi, String topology of classifying spaces, J. Reine Angew. Math. 669 (2012) 1 MR2980450
5	R L Cohen, J D S Jones, A homotopy theoretic realization of string topology, Math. Ann. 324 (2002) 773 MR1942249
6	R L Cohen, J D S Jones, J Yan, The loop homology algebra of spheres and projective spaces, from: "Categorical decomposition techniques in algebraic topology" (editors G Arone, J Hubbuck, R Levi, M Weiss), Progr. Math. 215, Birkhäuser (2004) 77 MR2039760
7	R L Cohen, J R Klein, Umkehr maps, Homology Homotopy Appl. 11 (2009) 17 MR2475820
8	K Gruher, P Salvatore, Generalized string topology operations, Proc. Lond. Math. Soc. 96 (2008) 78 MR2392316
9	R A Hepworth, String topology for complex projective spaces, preprint (2009) arXiv:0908.1013
10	R A Hepworth, String topology for Lie groups, J. Topol. 3 (2010) 424 MR2651366
11	S Kaji, H Tene, Products in equivariant homology, preprint (2015) arXiv:1506.00441
12	A P M Kupers, An elementary proof of the string topology structure of compact oriented surfaces, preprint (2012) arXiv:1110.1158v2
13	K Kuribayashi, On the mod p cohomology of the spaces of free loops on the Grassmann and Stiefel manifolds, J. Math. Soc. Japan 43 (1991) 331 MR1096437
14	E Lupercio, B Uribe, M A Xicoténcatl, Orbifold string topology, Geom. Topol. 12 (2008) 2203 MR2431019
15	L Menichi, String topology for spheres, Comment. Math. Helv. 84 (2009) 135 MR2466078
16	L Menichi, String topology, Euler class and TNCZ free loop fibrations, preprint (2013) arXiv:1308.6684
17	I Moerdijk, Orbifolds as groupoids: an introduction, from: "Orbifolds in mathematics and physics" (editors A Adem, J Morava, Y Ruan), Contemp. Math. 310, Amer. Math. Soc. (2002) 205 MR1950948
18	H Tamanoi, Batalin–Vilkovisky Lie algebra structure on the loop homology of complex Stiefel manifolds, Int. Math. Res. Not. 2006 (2006) MR2211159
19	H Tamanoi, Cap products in string topology, Algebr. Geom. Topol. 9 (2009) 1201 MR2519587
20	D Vaintrob, The string topology BV algebra, Hochschild cohomology and the Goldman bracket on surfaces, preprint (2007) arXiv:math/0702859
21	M Vigué-Poirrier, Dans le fibré de l’espace des lacets libres, la fibre n’est pas, en général, totalement non cohomologue à zéro, Math. Z. 181 (1982) 537 MR682673