|
Algebraic & Geometric Topology 11
(2011) 523–551
|
| 1 |
A Adem, J
Leida, Y Ruan, Orbifolds and
stringy topology, Cambridge Tracts in Math. 171,
Cambridge Univ. Press (2007) MR2359514 |
| 2 |
A Adem, Y Ruan,
Twisted orbifold K–theory, Comm. Math. Phys. 237
(2003) 533–556 MR1993337 |
| 3 |
M Atiyah, G
Segal, On equivariant
Euler characteristics, J. Geom. Phys. 6 (1989)
671–677 MR1076708 |
| 4 |
B Blackadar,
K–theory for operator algebras, MSRI Publ. 5,
Cambridge Univ. Press (1998) MR1656031 |
| 5 |
J Bryan, J
Fulman, Orbifold Euler
characteristics and the number of commuting m–tuples in
the symmetric groups, Ann. Comb. 2 (1998) 1–6
MR1682916 |
| 6 |
W Chen, Y Ruan,
Orbifold Gromov–Witten theory, from: "Orbifolds in
mathematics and physics (Madison, WI, 2001)" (editors A Adem, J
Morava, Y Ruan), Contemp. Math. 310, Amer. Math. Soc. (2002)
25–85 MR1950941 |
| 7 |
L Dixon, J A
Harvey, C Vafa, E Witten, Strings on
orbifolds, Nuclear Phys. B 261 (1985) 678–686
MR818423 |
| 8 |
C Farsi, C
Seaton, Generalized twisted
sectors of orbifolds, Pacific J. Math. 246 (2010)
49–74 MR2645879 |
| 9 |
C Farsi, C
Seaton, Nonvanishing
vector fields on orbifolds, Trans. Amer. Math. Soc. 362
(2010) 509–535 MR2550162 |
| 10 |
F Hirzebruch, T
Höfer, On the Euler number of
an orbifold, Math. Ann. 286 (1990) 255–260
MR1032933 |
| 11 |
S Illman, The equivariant
triangulation theorem for actions of compact Lie
groups, Math. Ann. 262 (1983) 487–501 MR696520 |
| 12 |
K Kawakubo, The
theory of transformation groups, The Clarendon Press,
Oxford Univ. Press (1991) MR1150492 |
| 13 |
I G Macdonald,
The Poincaré polynomial of a symmetric product,
Proc. Cambridge Philos. Soc. 58 (1962) 563–568 MR0143204 |
| 14 |
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) 205–222 MR1950948 |
| 15 |
I Moerdijk, J
Mrčun, Introduction to
foliations and Lie groupoids, Cambridge Studies in
Advanced Math. 91, Cambridge Univ. Press (2003) MR2012261 |
| 16 |
I Moerdijk,
D A Pronk, Simplicial
cohomology of orbifolds, Indag. Math. (N.S.) 10 (1999)
269–293 MR1816220 |
| 17 |
S S Roan,
Minimal
resolutions of Gorenstein orbifolds in dimension three,
Topology 35 (1996) 489–508 MR1380512 |
| 18 |
Y Ruan, Stringy
geometry and topology of orbifolds, from: "Symposium in
Honor of C H Clemens (Salt Lake City, UT, 2000)" (editors
A Bertram, J A Carlson, H Kley), Contemp. Math. 312, Amer.
Math. Soc. (2002) 187–233 MR1941583 |
| 19 |
I Satake, The
Gauss–Bonnet theorem for V–manifolds, J. Math.
Soc. Japan 9 (1957) 464–492 MR0095520 |
| 20 |
C Seaton, Two
Gauss–Bonnet and Poincaré–Hopf theorems for
orbifolds with boundary, Differential Geom. Appl. 26
(2008) 42–51 MR2393971 |
| 21 |
H Tamanoi, Generalized orbifold
Euler characteristic of symmetric products and equivariant
Morava K–theory, Algebr. Geom. Topol. 1 (2001)
115–141 MR1805937 |
| 22 |
H Tamanoi, Generalized orbifold
Euler characteristics of symmetric orbifolds and covering
spaces, Algebr. Geom. Topol. 3 (2003) 791–856
MR1997338 |
| 23 |
W P Thurston,
The
geometry and topology of three-manifolds, Princeton
Univ. Math. Dept. Lecture Notes (1979) |
| 24 |
A Verona, Triangulation of
stratified fibre bundles, Manuscripta Math. 30 (80)
425–445 MR567218 |
| 25 |
W Wang, Equivariant
K–theory, wreath products, and Heisenberg
algebra, Duke Math. J. 103 (2000) 1–23 MR1758236 |
| 26 |
W Wang, J Zhou,
Orbifold
Hodge numbers of the wreath product orbifolds, J. Geom.
Phys. 38 (2001) 152–169 MR1823666 |
| 27 |
C T Yang, The
triangulability of the orbit space of a differentiable
transformation group, Bull. Amer. Math. Soc. 69 (1963)
405–408 MR0146291 |
| 28 |
E Zaslow, Topological
orbifold models and quantum cohomology rings, Comm.
Math. Phys. 156 (1993) 301–331 MR1233848 |
| 29 |
J Zhou, Delocalized
equivariant coholomogy of symmetric products arXiv:math/9910028 |
