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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 267, Pages 156–162
(Mi znsl1273)
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Orientations of spines of homology balls
A. Yu. Makovetskii Chelyabinsk State University
Abstract:
Oriented special spines of 3-manifolds are studied. (Orientation is an additional structure on the spine, and each 3-manifold possesses a special spine with such a structure.) The moves $M^{\pm1}$ and $L^{\pm1}$ of special spines, which do not change the manifold, are well known. We prove that $M^{+1}$ and $L^{+1}$
preserve orientability of a spine, while $M^{-1}$ and $L^{-1}$ do not. For spines of homology balls, a class of moves is described which allow one to pass from a given orientation of a spine to any other orientation of the spine.
Received: 29.10.1999
Citation:
A. Yu. Makovetskii, “Orientations of spines of homology balls”, Geometry and topology. Part 5, Zap. Nauchn. Sem. POMI, 267, POMI, St. Petersburg, 2000, 156–162; J. Math. Sci. (N. Y.), 113:6 (2003), 818–821
Linking options:
https://www.mathnet.ru/eng/znsl1273 https://www.mathnet.ru/eng/znsl/v267/p156
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Abstract page: | 128 | Full-text PDF : | 53 |
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