Witten-Morse theory for cell complexes

Topology

Volumn 37, Issue 5, 1998, Pages 945-979

  Forman, Robin ^a  

^a RICE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032571052     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0040-9383(97)00071-2     Document Type: Article

References (15)

1. 1. Bismut, J. M. and Zhang, W., An Extension of a Theorem by Cheeger and Müller, Astérisque No. 105, Société Mathématique de France, 1992.
2. 2. Bott, R., Morse theory indomitable, Publications Mathematiques IHES 1988 68, 99-117.
3. 3. Burghelea, D., Friedlander, L. and Kappeler, T., Analytic torsion equals Reidemeister torsion, a new proof, preprint.
4. 4. Cycon, H. L., Froese, R. G., Kirsch, W. and Simon, B., Schrodinger Operators with Applications to Quantum Mechanics and Global Geometry. Springer Berlin, 1987.
5. 5. Forman, R., A discrete Morse theory for cell complexes. In Proceedings of the Conference on Topology and Geometry in Honor of Raoul Bott, ed. S. T. Yau. International Press, 1995.
6. 6. Forman, R., Morse theory for cell complexes, Advances in Mathematics, to appear.
7. 7. Forman, R., Combinatorial vector fields, Mathematische Zietschrift, to appear.
8. 8. Franz, W., Über die Torsion einer Überdeckung, Journal for die Reine and angewande Mathematik 1935, 173, 245-254.
9. 9. Helffer, B. and Sjöstrand, J., Puits Multiples en Mécanique Semi-Classique, IV Etude du Complexe de Witten, Comm. P.D.E. 1985, 10, 245-340.
10. 10. Klingenberg, W., The Morse complex, Symposia Mathematica, Vol. XXVI, Rome, 1980. Academic Press, New York, 1982, pp. 117-122.
11. 11. Lundell, A. and Weingram. S., The Topology of CW Complexes, Van Nostrand Reinhold Company, New York, 1969.
12. 12. Milnor, J., Lectures on the h-cobordism Theorem, Princeton Mathematical Notes, Princeton University Press, Princeton, 1965.
13. 13. Ray, D. B. and Singer, I. M., R-torsion and the Laplacian on Riemannian manifolds, Advances in Mathematics 1971, 7, 145-210.
14. 14. Tangerman, F., Reidemeister Torsion and analytic torsion, preprint, 1988.
15. 15. Witten, E., Supersymmetry and Morse theory, Journal of Differential Geometry 1982, 17, 661-692.