Isotropy index for the connected sum and the direct product of manifolds

@article{Gelbukh2016IsotropyIF,
  title={Isotropy index for the connected sum and the direct product of manifolds},
  author={Irina Gelbukh},
  journal={arXiv: Algebraic Topology},
  year={2016}
}
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, and in particular the isotropy index---the maximum dimension of an isotropic subspace or maximum rank of an isotropic subgroup. For a smooth closed orientable manifold $M$, we describe the geometric meaning of the isotropic subgroups of the first cohomology group with different coefficients under the cup product. We… Expand
5 Citations

Figures from this paper

References

SHOWING 1-10 OF 28 REFERENCES
...
1
2
3
...