Geodesic
Invariants of curves in RP2 and R2
Thompson, Abigail1
1Mathematics Department, University of California, Davis, CA 95616, USA
Algebraic and Geometric Topology, Tome 6 (2006) no. 5, pp. 2175-2186
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There is an elegant relation found by Fabricius-Bjerre [Math. Scand 40 (1977) 20–24] among the double tangent lines, crossings, inflections points, and cusps of a singular curve in the plane. We give a new generalization to singular curves in RP2. We note that the quantities in the formula are naturally dual to each other in RP2, and we give a new dual formula.

DOI : 10.2140/agt.2006.6.2175
Keywords: knots, $RP^2$, plane curves, singular curves

Thompson, Abigail  1

1 Mathematics Department, University of California, Davis, CA 95616, USA 
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Thompson, Abigail. Invariants of curves in RP2 and R2. Algebraic and Geometric Topology, Tome 6 (2006) no. 5, pp. 2175-2186. doi: 10.2140/agt.2006.6.2175

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