Formal manifold

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In geometry and topology, a formal manifold can mean one of a number of related concepts:

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In geometric topology, the de Rham invariant is a mod 2 invariant of a (4k+1)-dimensional manifold, that is, an element of – either 0 or 1. It can be thought of as the simply-connected symmetric L-group and thus analogous to the other invariants from L-theory: the signature, a 4k-dimensional invariant, and the Kervaire invariant, a (4k+2)-dimensional quadratic invariant

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References

  1. Sullivan, Dennis (1975). "Differential forms and the topology of manifolds". Manifolds—Tokyo 1973 (Proc. Internat. Conf., Tokyo, 1973). Tokyo: University of Tokyo Press. pp. 37–49. MR   0370611. Zbl   0319.58005.
  2. Kotschick, Dieter (2001). "On products of harmonic forms". Duke Mathematical Journal . 107 (3): 521–531. arXiv: math/0004009 . doi:10.1215/S0012-7094-01-10734-5. MR   1828300.