Black and white local invariants of mappings from surfaces into three-space |
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Authors: | Houston Kevin |
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Institution: | (1) School of Mathematics, University of Leeds, Leeds, LS2 9JT, United Kingdom |
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Abstract: | Goryunov proved that the space of local invariants of Vassiliev type for generic maps from surfaces to three-space is three-dimensional.
The basic invariants were the number of pinch points, the number of triple points and one linked to a Rokhlin type invariant.
In this paper we show that, by colouring the complement of the image of the map with a chess board pattern, we can produce
a six-dimensional space of local invariants. These are essentially black and white versions of the above. Simple examples
show how these are more effective.
This revised version was published online in August 2006 with corrections to the Cover Date. |
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Keywords: | singularities Vassiliev invariants |
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