A geometric classification of immersions of 3-manifolds into 5-space
Andras Juhasz
Abstract
In this paper we define two regular homotopy invariants c and i for immersions of oriented 3-manifolds into R5 in a geometric manner. The pair (c(f),i(f)) completely describes the regular homotopy class of the immersion f. The invariant i corresponds to the 3-dimensional obstruction that arises from Hirsch-Smale theory and extends the one defined in [10] for immersions with trivial normal bundle.
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