|
Algebraic & Geometric Topology 9
(2009) 1105–1175
|
| 1 |
D Abramovich, T
Graber, A Vistoli, Algebraic orbifold quantum
products, from: "Orbifolds in mathematics and physics
(Madison, WI, 2001)" (editors A Adem, J Morava, Y Ruan),
Contemp. Math. 310, Amer. Math. Soc. (2002) 1–24 MR1950940 |
| 2 |
A Adem, J
Leida, Y Ruan, Orbifolds and stringy
topology, Cambridge Tracts in Math. 171, Cambridge Univ.
Press (2007) MR2359514 |
| 3 |
A Banyaga, D
Hurtubise, Lectures on Morse homology, Kluwer Texts
in the Math. Sciences 29, Kluwer (2004) MR2145196 |
| 4 |
K Behrend, G
Ginot, B Noohi, P Xu, String product for
inertia stack, Preprint (2006) |
| 5 |
K Behrend, P
Xu, Differentiable stacks and gerbes arXiv:math/0605694 |
| 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 |
W Chen, Y Ruan,
A new
cohomology theory of orbifold, Comm. Math. Phys. 248
(2004) 1–31 MR2104605 |
| 8 |
J Heinloth, Notes
on differentiable stacks, from: "Mathematisches Institut,
Georg-August-Universität Göttingen: Seminars Winter
Term 2004/2005" (editor Y Tschinkel), Univ. Göttingen
(2005) 1–32 MR2206877 |
| 9 |
R Hepworth, Morse
theory and the homology of crepant resolutions, in
preparation |
| 10 |
R Hepworth,
Orbifold Morse–Smale–Witten theory, in
preparation |
| 11 |
M W Hirsch,
Differential topology, Graduate Texts in Math. 33,
Springer (1976) MR0448362 |
| 12 |
D D Joyce, On
the topology of desingularizations of Calabi–Yau
orbifolds arXiv:math/9806146 |
| 13 |
D D Joyce,
Compact manifolds with special holonomy, Oxford Math.
Monogr., Oxford Univ. Press (2000) MR1787733 |
| 14 |
S Lang,
Differential manifolds, Addison-Wesley (1972) MR0431240 |
| 15 |
E Lerman, S
Tolman, Hamiltonian
torus actions on symplectic orbifolds and toric
varieties, Trans. Amer. Math. Soc. 349 (1997)
4201–4230 MR1401525 |
| 16 |
E Lupercio, B
Uribe, M A Xicoténcatl, The loop
orbifold of the symmetric product, J. Pure Appl.
Algebra 211 (2007) 293–306 MR2340450 |
| 17 |
J Milnor, Morse
theory, Annals of Math. Studies 51, Princeton Univ. Press
(1963) MR0163331
Based on lecture notes by M Spivak and R Wells |
| 18 |
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 |
| 19 |
L I Nicolaescu,
An invitation to Morse theory, Universitext, Springer
(2007) MR2298610 |
| 20 |
B Noohi,
Foundations of topological stacks I arXiv:math/0503247 |
| 21 |
D A Pronk,
Etendues
and stacks as bicategories of fractions, Compositio
Math. 102 (1996) 243–303 MR1401424 |
| 22 |
Y Ruan, The
cohomology ring of crepant resolutions of orbifolds, from:
"Gromov–Witten theory of spin curves and orbifolds"
(editors T J Jarvis, T Kimura, A Vaintrob), Contemp. Math.
403, Amer. Math. Soc. (2006) 117–126 MR2234886 |
| 23 |
D Salamon, Morse theory, the
Conley index and Floer homology, Bull. London Math.
Soc. 22 (1990) 113–140 MR1045282 |
| 24 |
F W Warner,
Foundations of differentiable manifolds and Lie groups,
Scott, Foresman and Co. (1971) MR0295244 |
| 25 |
A G Wasserman,
Equivariant
differential topology, Topology 8 (1969) 127–150
MR0250324 |
