Volume 9, issue 1 (2009)

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Infinite product decomposition of orbifold mapping spaces

Hirotaka Tamanoi

Algebraic & Geometric Topology 9 (2009) 569–592
Bibliography
1 L Borisov, A Libgober, Elliptic genera of singular varieties, Duke Math. J. 116 (2003) 319 MR1953295
2 R Dijkgraaf, G Moore, E Verlinde, H Verlinde, Elliptic genera of symmetric products and second quantized strings, Comm. Math. Phys. 185 (1997) 197 MR1463039
3 L Dixon, J A Harvey, C Vafa, E Witten, Strings on orbifolds, Nuclear Phys. B 261 (1985) 678 MR818423
4 N Ganter, Orbifold genera, product formulas and power operations, Adv. Math. 205 (2006) 84 MR2254309
5 S M Guseĭn-Zade, I Luengo, A Mel′e-Èrnandez, On the power structure over the Grothendieck ring of varieties and its applications, Tr. Mat. Inst. Steklova 258 (2007) 58 MR2400523
6 F Hirzebruch, Elliptic genera of level $N$ for complex manifolds, from: "Differential geometrical methods in theoretical physics (Como, 1987)" (editors K Bleuler, M Werner), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 250, Kluwer Acad. Publ. (1988) 37 MR981372
7 F Hirzebruch, T Höfer, On the Euler number of an orbifold, Math. Ann. 286 (1990) 255 MR1032933
8 P S Landweber, editor, Elliptic curves and modular forms in algebraic topology, Lecture Notes in Math. 1326, Springer (1988) MR970278
9 S Lang, Introduction to modular forms, Grund. der math. Wissenschaften 222, Springer (1976) MR0429740
10 J P May, Equivariant homotopy and cohomology theory, CBMS Regional Conference Ser. in Math. 91, Conf. Board of Math. Sci. (1996) MR1413302
11 I Moerdijk, Orbifolds as groupoids: an introduction, from: "Orbifolds in mathematics and physics (Madison, WI, 2001)" (editors A Adem, J Morava, Y Ruan), Contemp. Math. 310, Amer. Math. Soc. (2002) 205 MR1950948
12 H Tamanoi, Elliptic genera and vertex operator super-algebras, Lecture Notes in Math. 1704, Springer (1999) MR1716689
13 H Tamanoi, Generalized orbifold Euler characteristic of symmetric products and equivariant Morava $K$–theory, Algebr. Geom. Topol. 1 (2001) 115 MR1805937
14 H Tamanoi, Generalized orbifold Euler characteristics of symmetric orbifolds and covering spaces, Algebr. Geom. Topol. 3 (2003) 791 MR1997338
15 W Wang, Equivariant $K$–theory, wreath products, and Heisenberg algebra, Duke Math. J. 103 (2000) 1 MR1758236
16 W Wang, J Zhou, Orbifold Hodge numbers of the wreath product orbifolds, J. Geom. Phys. 38 (2001) 152 MR1823666
17 E Witten, The index of the Dirac operator in loop space, from: "Elliptic curves and modular forms in algebraic topology (Princeton, NJ, 1986)" (editor P S Landweber), Lecture Notes in Math. 1326, Springer (1988) 161 MR970288