A formula for the Euler characteristics of even dimensional triangulated manifolds
HTML articles powered by AMS MathViewer
- by Toshiyuki Akita PDF
- Proc. Amer. Math. Soc. 136 (2008), 2571-2573 Request permission
Abstract:
An alternative formula for the Euler characteristics of even dimensional triangulated manifolds is deduced from the generalized Dehn-Sommer- ville equations.References
- Toshiyuki 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), no. 3, 721–736. MR 1766100, DOI 10.1112/S0024610700008693
- Victor M. Buchstaber and Taras E. Panov, Torus actions and their applications in topology and combinatorics, University Lecture Series, vol. 24, American Mathematical Society, Providence, RI, 2002. MR 1897064, DOI 10.1090/ulect/024
- Ruth Charney and Michael Davis, Reciprocity of growth functions of Coxeter groups, Geom. Dedicata 39 (1991), no. 3, 373–378. MR 1123152, DOI 10.1007/BF00150764
- Victor Klee, A combinatorial analogue of Poincaré’s duality theorem, Canadian J. Math. 16 (1964), 517–531. MR 189039, DOI 10.4153/CJM-1964-053-0
- E. Swartz, From spheres to manifolds, preprint (2005).
Additional Information
- Toshiyuki Akita
- Affiliation: Department of Mathematics, Hokkaido University, Sapporo, 060-0810 Japan
- Email: akita@math.sci.hokudai.ac.jp
- Received by editor(s): January 31, 2007
- Published electronically: 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 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 2571-2573
- MSC (2000): Primary 52B70; Secondary 52B05, 57Q15
- DOI: https://doi.org/10.1090/S0002-9939-08-09148-X
- MathSciNet review: 2390528