Morse Theory for Cell Complexes

Advances in Mathematics

Volumn 134, Issue 1, 1998, Pages 90-145

  Forman, Robin ^a  

^a RICE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002910255     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1997.1650     Document Type: Article

References (25)

1. Banchoff T. Critical points and curvature for embedded polyhedra. J. Diff. Geo. 1:1967;245-256.
2. Barden D. The Structure of Manifolds. 1963;Cambridge University.
3. Brehm U., Kühnel W. Combinatorial manifolds with few vertices. Topology. 26:1987;465-473.
4. A. Duval, A combinatorial decomposition of Simplicial complexes, Israel J. Math.
5. Eells J., Kuiper N. Manifolds which are like projective planes. Inst. Hautes Etudes Sci. Publ. Math. No. 14. 1962;5-46.
6. Forman R. Determinants of Laplacians on graphs. Topology. 32:1993;35-46.
7. R. Forman, Witten-Morse theory for cell complexes, Topology.
8. Forman R. A discrete Morse theory for cell complexes. Geometry, Topology & Physics for Raoul Bott. 1995;International Press.
9. R. Forman, Combinatorial vector fields and dynamical systems, Math. Zeit.
10. Glaser L. C. Geometrical Cominatorial Topology. 1970;Van Nostrand-Reinhold, New York.
11. Goresky M., MacPherson R. Stratified Morse Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). 14:1988;Springer-Verlag, Berlin.
12. Klingenberg W. The Morse complex. Symposia Mathematica Vol. XXVI (Rome, 1980). 1982;Academic Press, New York. p. 117-122.
13. Kosinski A. Singularities of piecewise linear mappings. I. Mappings into the real line. Bull. Amer. Math. Soc. 68:1962;110-114.
14. Kuhnel W. Triangulations of manifolds with few vertices. Advances in Differential Geometry and Topology. 1990;World Scientific, Singapore. p. 59-114.
15. Lundell A., Weingram S. The Topology of CW Complexes. 1969;Van Nostrand-Reinhold, New York.
16. Mazur B. Differential topology from the viewpoint of simple homotopy theory. Publ. Math. I.H.E.S. 15:1963;5-93.
17. Milnor J. Morse Theory. Annals of Mathematics Study. 51:1962;Princeton Univ. Press, Princeton.
18. Milnor J. Lectures on the h-cobordism theorem. Princeton Mathematical Notes. 1965;Princeton Univ. Press, Princeton.
19. Morse M. Bowls of a non-degenerate function on a compact differentiable manifold. Cairns S. S. Differential and Combinatorial Topology. 1965;81-104 Princeton Univ. Press, Princeton.
20. Smale S. On gradient dynamical systems. Ann. Math. 74:1961;199-206.
21. Smale S. The generalized Poincaré conjecture in dimensions greater than four. Ann. Math. 74:1961;391-406.
22. Stallings J. R. Lectures on Polyhedral Topology. 1968;Tata Institute of Fundamental Research, Bombay.
23. Stanley R. A combinatorial decomposition of acyclic simplicial complexes. Discrete Math. 118:1993.
24. J. H. C. Whitehead, Simplicial spaces, nuclei andm, Ann. Math.
25. Witten E. Supersymmetry and Morse theory. J. Differential Geom. 17:1982;661-692.