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Global topological invariants of stable maps from 3-manifolds to ℝ3

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Abstract

With any stable map from a 3-manifold to ℝ3, we associate a graph with weights in its vertices and edges. These graphs are A-invariants from a global viewpoint. We study their properties and show that any tree with zero weights in its vertices and aleatory weights in its edges can be the graph of a stable map from S 3 to ℝ3.

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Correspondence to R. Oset Sinha.

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Mendes de Jesus, C., Oset Sinha, R. & Romero Fuster, M.C. Global topological invariants of stable maps from 3-manifolds to ℝ3 . Proc. Steklov Inst. Math. 267, 205–216 (2009). https://doi.org/10.1134/S0081543809040178

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  • DOI: https://doi.org/10.1134/S0081543809040178

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