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Efficient multisections of odd-dimensional tori

Efficient multisections of odd-dimensional tori

generalized the notions of Heegaard splittings of 3-manifolds and trisections of 4-manifolds by defining multisections of PL n-manifolds, which are decompositions into k D 1 2 n ˘C1 n-dimensional 1-handlebodies with nice intersection properties.For each odd-dimensional torus T n , we construct a multisection which is efficient in the sense …