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math.AT2016
Isotropy index for the connected sum and the direct product of manifolds
Irina Gelbukh
A subspace or subgroup is isotropic under a bilinear map if the restriction of the map on it is trivial. We study maximal isotropic subspaces or subgroups under skew-symmetric maps…
math.AT2015
The co-rank of the fundamental group: the direct product, the first Betti number, and the topology of foliations
Irina Gelbukh
We study , the co-rank of the fundamental group of a smooth closed connected manifold . We calculate this value for the direct product of manifolds. We characterize the…