Immersions of surfaces into aspherical 3-manifolds

Nowik, Tahl

doi:10.1090/S0002-9947-08-04532-7

Immersions of surfaces into aspherical 3-manifolds
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Trans. Amer. Math. Soc. 361 (2009), 1833-1852 Request permission

Abstract:

We study finite order invariants of null-homotopic immersions of a closed orientable surface into an aspherical orientable 3-manifold. We give the foundational constructions and classify all order 1 invariants.

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