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arxiv: math/0202049 · v1 · pith:6R2T56W6new · submitted 2002-02-06 · 🧮 math.AT · math-ph· math.DG· math.MP

A note on H¹(Emb(M,N))

classification 🧮 math.AT math-phmath.DGmath.MP
keywords manifoldnotecohomologicalconditionsconstructedextractinformationmonomorphism
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Aim of this note is to extract cohomological information about the manifold $Emb(M,N)$ from the topology of the target manifold N. For special conditions, a monomorphism $H^1 (N) \to H^1 (Emb(M,N))$ is constructed.

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