Riemann-Roch for toric orbifolds
Victor Guillemin
Source: J. Differential Geom. Volume 45, Number 1
(1997), 53-73.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jdg/1214459754
Mathematical Reviews number (MathSciNet): MR1443331
Zentralblatt MATH identifier: 0932.37039
References
[1] R. Bott and L. Tu, Differential forms in algebraic topology, Springer, New York, 1982.
Zentralblatt MATH: 0496.55001
Mathematical Reviews (MathSciNet): MR658304
[2] M. Brion, Points entiers dans les polyedres convexes, Ann. Sci. Ecole Norm. Sup. 21 (1988) 653-665.
Zentralblatt MATH: 0667.52011
Mathematical Reviews (MathSciNet): MR982338
[3] M. Brion and M. Vergne, Lattice points in simple polytopes, Preprint, May, 1995.
Zentralblatt MATH: 0871.52009
Mathematical Reviews (MathSciNet): MR1415319
Digital Object Identifier: doi:10.1090/S0894-0347-97-00229-4
JSTOR: links.jstor.org
[4] S. Cappell and J. Shaneson, Characteristic classes, lattice points and Euler-Maclaurin formulae, Proc. Internat. Congr. Math. (Zurich, 1996), to appear.
Zentralblatt MATH: 0846.57018
[5] V.I. Danilov, The geometry of toric varieties, Russian Math. Surveys 33 (1978) 97-154.
Zentralblatt MATH: 0425.14013
Mathematical Reviews (MathSciNet): MR495499
[6] J.J. Duistermaat, V. Guillemin, E. Meinrenken and S. Wu, Symplectic reduction and Riemann-Roch for circle actions, Math. Res. Lett. 2 (1995) 259-266.
Zentralblatt MATH: 0839.58026
Mathematical Reviews (MathSciNet): MR1338785
[7] V. Guillemin, Reduced phase spaces and Riemann-Roch, in Lie Theory and Geometry, Progr. Math. 123 (1994) 305-334.
Zentralblatt MATH: 0869.58017
Mathematical Reviews (MathSciNet): MR1327539
[8] V. Guillemin, Kaehler structures on toric varieties, J. Differential Geom. 40 (1994) 285-309.
Zentralblatt MATH: 0813.53042
Mathematical Reviews (MathSciNet): MR1293656
Project Euclid: euclid.jdg/1214455538
[9] V. Guillemin and S. Sternberg, Geometric quantization and multiplicities of group representations, Invent. Math. 67 (1982) 515-538.
Zentralblatt MATH: 0503.58018
Mathematical Reviews (MathSciNet): MR664118
Digital Object Identifier: doi:10.1007/BF01398934
[10] V. Guillemin and S. Sternberg, Homogeneous quantization and multiplicities of group representations, J. Funct. Anal. 47 (1982) 344-380.
Zentralblatt MATH: 0733.58021
Mathematical Reviews (MathSciNet): MR665022
Digital Object Identifier: doi:10.1016/0022-1236(82)90111-2
[11] L. Jeffrey and F. Kirwan, On localization and Riemann-Roch numbers for symplectic quotients, Preprint, September, 1994.
Zentralblatt MATH: 0870.53022
Mathematical Reviews (MathSciNet): MR1397936
Digital Object Identifier: doi:10.1093/qmath/47.2.165
[12] T. Kawasaki, The Riemann-Roch theorem for complex V-manifolds, Osaka J. Math. 16 (1979) 151-159.
Zentralblatt MATH: 0405.32010
Mathematical Reviews (MathSciNet): MR527023
Project Euclid: euclid.ojm/1200771835
[13] A. Khovanskii and J.M. Kantor, Integral points in convex polyhedra, combinatorial Riemann-Roch and generalized Maclaurin formulae, Inst. Hautes Etudes Sci. Publ. Math. (1992) 932-937.
[14] A. Khovanskii and S. Pukhlikov, Théoreme de Riemann-Roch pour les intégrales et les sommes de quasi-polynomes sur les polyedres virtuels, Algebra i analiz 4 (1992) 188-216.
Zentralblatt MATH: 0798.52010
[15] B. Kostant, Quantization and unitary representations, Lecture notes in Math. Vol. 170, Springer, Berlin, 1970, 87-207.
Zentralblatt MATH: 0223.53028
Mathematical Reviews (MathSciNet): MR294568
Digital Object Identifier: doi:10.1007/BFb0079068
[16] B. Lawson and M. Michelsohn, Spin Geometry, Princeton Univ. Press, Princeton, 1989.
Zentralblatt MATH: 0688.57001
Mathematical Reviews (MathSciNet): MR1031992
[17] S. Martin and J. Weitsman, On a conjecture of Guillemin-Sternberg, to appear.
[18] E. Meinrenken, On Riemann-Roch formulas for multiplicities, J. Amer. Math. Soc, to appear.
Zentralblatt MATH: 0851.53020
Mathematical Reviews (MathSciNet): MR1325798
Digital Object Identifier: doi:10.1090/S0894-0347-96-00197-X
JSTOR: links.jstor.org
[19] E. Meinrenken, Symplectic surgery and the spin c-Dirac operator, Preprint, March, 1995.
Zentralblatt MATH: 0929.53045
Mathematical Reviews (MathSciNet): MR1617809
Digital Object Identifier: doi:10.1006/aima.1997.1701
[20] R. Morelli, Pick's theorem and the Todd class of a toric variety, Adv. Math. 100 (1993) 183-231.
Zentralblatt MATH: 0797.14018
Mathematical Reviews (MathSciNet): MR1234309
Digital Object Identifier: doi:10.1006/aima.1993.1033
[21] J.E. Pommersheim, Toric varieties, lattice points and Dedekind sums, Math. Ann. 295 (1993) 1-24.
Zentralblatt MATH: 0789.14043
Mathematical Reviews (MathSciNet): MR1198839
Digital Object Identifier: doi:10.1007/BF01444874
[22] I. Satake, On a generalization of the notion of manifold, Proc. Nat. Acad. Sci. U.S.A. 42 (1956) 359-363.
Zentralblatt MATH: 0074.18103
Mathematical Reviews (MathSciNet): MR79769
Digital Object Identifier: doi:10.1073/pnas.42.6.359
JSTOR: links.jstor.org
[23] R. Sjamaar and E. Lerman, Stratified symplectic spaces and reduction, Ann. of Math. 134 (1991) 375-422.
Zentralblatt MATH: 0759.58019
Mathematical Reviews (MathSciNet): MR1127479
Digital Object Identifier: doi:10.2307/2944350
JSTOR: links.jstor.org
[24] B. Sturmfels, On vector partition functions, Preprint, July, 1994.
Zentralblatt MATH: 0837.11055
Mathematical Reviews (MathSciNet): MR1357776
Digital Object Identifier: doi:10.1016/0097-3165(95)90067-5
[25] M. Vergne, Quantification géométrique et multiplicités, CR. Acad. Sci. Paris, 319 (1994) 327-332.
Zentralblatt MATH: 0814.58020
Mathematical Reviews (MathSciNet): MR1289306
Journal of Differential Geometry
