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- W174792015 abstract "Following Arnol’s and Viro’s approach to order 1 invariants of curves on surfaces [1, 2, 3, 20], we study invariants of mappings of oriented surfaces into Euclidean 3-space. We show that, besides the numbers of pinch and triple points, there is exactly one integer invariant of such mappings that depends only on local bifurcations of the image. We express this invariant as an integral similar to the integral in Rokhlin’s complex orientation formula for real algebraic curves. As for Arnold’s J + invariant [1, 2, 3], this invariant also appears in the linking number of two legendrian lifts of the image. We discuss a generalization of this linking number to higher dimensions." @default.
- W174792015 created "2016-06-24" @default.
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- W174792015 date "1997-01-01" @default.
- W174792015 modified "2023-10-16" @default.
- W174792015 title "Local invariants of mappings of surfaces into three-space" @default.
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- W174792015 doi "https://doi.org/10.1007/978-1-4612-4122-5_11" @default.
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