English

A note on $H^1(Emb(M,N))$

Algebraic Topology 2016-05-20 v1 Mathematical Physics Differential Geometry math.MP

Abstract

Aim of this note is to extract cohomological information about the manifold Emb(M,N)Emb(M,N) from the topology of the target manifold N. For special conditions, a monomorphism H1(N)H1(Emb(M,N))H^1 (N) \to H^1 (Emb(M,N)) is constructed.

Cite

@article{arxiv.math/0202049,
  title  = {A note on $H^1(Emb(M,N))$},
  author = {Olaf Müller},
  journal= {arXiv preprint arXiv:math/0202049},
  year   = {2016}
}

Comments

4 pages