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A formula for the Euler characteristics of even dimensional triangulated manifolds
Author(s):
Toshiyuki
Akita
Journal:
Proc. Amer. Math. Soc.
136
(2008),
2571-2573.
MSC (2000):
Primary 52B70;
Secondary 52B05, 57Q15
Posted:
February 29, 2008
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Abstract:
An alternative formula for the Euler characteristics of even dimensional triangulated manifolds is deduced from the generalized Dehn-Sommerville equations.
References:
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- 1.
- T. Akita, Euler characteristics of Coxeter groups, PL-triangulations of closed manifolds, and cohomology of subgroups of Artin groups, J. London Math. Soc. (2) 61 (2000), 721-736. MR 1766100 (2001f:20080)
- 2.
- V. M. Buchstaber, T. E. Panov, Torus actions and their applications in topology and combinatorics, University Lecture Series 24, American Mathematical Society, Providence, RI, 2002. MR 1897064 (2003e:57039)
- 3.
- R. Charney, M. W. Davis, Reciprocity of growth functions of Coxeter groups, Geom. Dedicata 39 (1991), 373-378. MR 1123152 (92h:20067)
- 4.
- V. Klee, A combinatorial analogue of Poincaré's duality theorem, Canad. J. Math. 16 (1964), 517-531. MR 0189039 (32:6466)
- 5.
- E. Swartz, From spheres to manifolds, preprint (2005).
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Additional Information:
Toshiyuki
Akita
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo, 060-0810 Japan
Email:
akita@math.sci.hokudai.ac.jp
DOI:
10.1090/S0002-9939-08-09148-X
PII:
S 0002-9939(08)09148-X
Received by editor(s):
January 31, 2007
Posted:
February 29, 2008
Additional Notes:
The author was partially supported by the Grant-in-Aid for Scientific Research (C) (No. 17560054) from the Japan Society for Promotion of Sciences.
Communicated by:
Alexander N. Dranishnikov
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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