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- W2056568553 abstract "Let M be a closed smooth connected and simply connected manifold of dimension m at least 3, and let r be a fixed natural number. The topological invariant $${{D^m_r} [f]}$$ , defined by the authors in [Forum Math. 21 (2009), 491–509], is equal to the minimal number of r-periodic points in the smooth homotopy class of f, a given self-map of M. In this paper, we present a general combinatorial scheme of computing $${{D^m_r} [f]}$$ for arbitrary dimension m ≥ 4. Using this approach we calculate the invariant in case r is a product of different odd primes. We also obtain an estimate for $${{D^m_r} [f]}$$ from below and above for some other natural numbers r." @default.
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- W2056568553 date "2012-04-11" @default.
- W2056568553 modified "2023-10-14" @default.
- W2056568553 title "Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds" @default.
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- W2056568553 doi "https://doi.org/10.1007/s11784-012-0076-1" @default.
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