A conjecture concerning positive Ricci curvature and the Witten genus

Mathematische Annalen

Volumn 304, Issue 1, 1996, Pages 785-800

  Stolz, Stephan ^a  

^a UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030554153     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf01446319     Document Type: Article

References (26)

1. A.L. Besse: Einstein manifolds. Springer Verlag, Berlin, New York, 1986
2. J.-L. Brylinski, D. McLaughlin: A geometric construction of the first Pontryagin class. Quantum Topology, Series on Knots and Everything, Vol. 3. World Scientific, 1993, pp. 209-220
3. 3-actions on manifolds, Preprint Nr. 6, February 1994, Preprint-Reihe des Fachbereichs Mathematik, Universität Mainz, Germany
4. D. Freed: The geometry of loop groups. J. Diff. Geom. 28 (1988), 223-276
5. P. Flaschel, W. Klingenberg: Riemannsche Hilbertmannigfaltigkeiten. Lecture Notes in Mathematics Vol. 282. Springer, 1972
6. I.B. Frenkel: Two constructions of affine Lie algebra representations. J. Funct. Anal. 44 (1981), 259-327
7. M. Gromov, H.B. Lawson, Jr.: The classification of simply connected manifolds of positive scalar curvature. Ann. Math. 111 (1980), 423-434
8. F. Hirzebruch, T. Berger, R. Jung: Manifolds and modular forms. Aspects of Mathematics series. Vieweg, 1992
9. M. Hopkins: Preprint; to appear in the Proceedings of the International Congress in Zürich, 1994
10. 2. Institut Mittag-Leffler preprint No. 20, 1993/94
11. M.A. Kervaire, J.W. Milnor: Groups of Homotopy spheres I. Ann. Math. 77 (1963), 504-537
12. 2-bundles and elliptic homology. Acta Math. 171 (1993), 231-261
13. H.B. Lawson, M.-L. Michelsohn: Spin geometry. Princeton Mathematical Series, 38, Princeton Univ. Press, Princeton, New Jersey, 1989
14. A. Lichnerowicz: Spineurs harmoniques. C.R. Acad. Sci. Paris, Sér. A-B 257 (1963), 7-9
15. K. Liu: On elliptic genera and Jacobi forms. Preprint, Sept. 92
16. J. Lohkamp: Negatively Ricci curved manifolds. Bull. AMS (N.S.) 27 (1992), 288-291
17. A. Pressley, G. Segal: Loop groups. Oxford Mathematical Monographs. Clarendon Press, Oxford
18. J. Rosenberg, S. Stolz: Manifolds of positive scalar curvature. Algebraic Topology and its Applications (G. Carlsson, R. Cohen, W.-C. Hsiang, J.D.S. Jones, eds.), M.S.R.I. Publications, vol. 27. Springer, New York, 1994, pp. 241-267
19. G. Segal: Elliptic cohomology. Séminaire Bourbaki 695 (1987-88)
20. m. J. Diff. Geom. 33 (1991), 127-137
21. S. Stolz: Hochzusammenhängende Mannigfaltigkeiten und ihre Ränder. Lecture Notes in Mathematics, vol. 1116. Springer, 1985
22. S. Stolz: Simply connected manifolds of positive scalar curvature. Ann. Math. 136 (1992), 511-540
23. 1 actions and elliptic genera. Commun. Math. Phys. 122 (1989), 455-526
24. E. Witten: The index of the Dirac operator in loop space. Elliptic curves and modular forms in algebraic topology (P.S. Landweber, ed.), Lecture Notes in Mathematics, vol. 1326. Springer, 1988, pp. 161-181
25. D. Wraith: Ph.D. thesis, Notre Dame 1995
26. D. Zagier: Note on the Landweber-Stong elliptic genus. Elliptic curves and modular forms in algebraic topology (P.S. Landweber, ed.), Lecture Notes in Mathematics, vol. 1326. Springer, 1988, pp. 216-224