On the variations of the Betti numbers of regular levels of Morse flows

M.A. Bertolim; K.A. de Rezende; O. Manzoli Neto; G.M. Vago

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On the variations of the Betti numbers of regular levels of Morse flows

机译：关于正常水平的莫尔斯电势的贝蒂数的变化

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We generalize results in Cruz and de Rezende (1999) [7] by completely describing how the Betti numbers of the boundary of an orientable manifold vary after attaching a handle, when the homology coefficients are in Z, Q, R or Z/PZ with p prime. First we apply this result to the Conley index theory of Lyapunov graphs. Next we consider the Ogasa invariant associated with handle decompositions of manifolds. We make use of the above results in order to obtain upper bounds for the Ogasa invariant of product manifolds.

机译：我们通过完全描述在附着系数为Z，Q，R或Z / PZ的情况下，附着手柄后可定向流形边界的Betti数如何变化，在Cruz和de Rezende（1999）[7]中对结果进行了概括。 p素数。首先，我们将此结果应用于Lyapunov图的Conley指数理论。接下来，我们考虑与歧管的句柄分解相关的Ogasa不变式。我们利用以上结果来获得产品流形的Ogasa不变式的上限。

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来源
《Topology and its applications》 |2011年第6期|p.761-774|共14页
作者
M.A. Bertolim; K.A. de Rezende; O. Manzoli Neto; G.M. Vago;
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作者单位

Fachbereich Mathematik, Universitat Salzburg, Hellbrwmer Str. 34,5020 Salzburg, Austria;

Institute de Matematica, Estatistica e Computacao Cientifica, Universidade Estadual de Campinas, Campinas, SP, Brazil;

instituto de Ciencias Matematicas e de Computacao, Universidade de Sao Paulo, Sao Carlos, SP, Brazil;

Institut de Mathematiques de Bourgogne, UMR CNRS 5584, Universite de Bourgogne, BP 47 870,21078 Dijon Cedex, France;

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正文语种 eng
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关键词
betti numbers; handle decomposition; conley index; ogasa invariant;

机译：贝蒂数;句柄分解;康利指数;ogasa不变量;

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机译：关于莫尔斯流的规则水平的贝蒂数的变化

On the variations of the Betti numbers of regular levels of Morse flows

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