{xy-pic} is a package for typesetting graphs and diagrams using the principle of "logical composition of visual components."

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arrow crossings of curves in xy-pic

I want a diagram like What I can do is \[ \xy (-10,0)*+{ml}="ml"; (10,0)*+{mr}="mr"; (-5,13)*+{t}="t"; (10,-10)*+{b}="b"; ...
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Xy-pic: Draw a partial circle segment with the command \cir

I can't figure out if is it possible or not to draw a partial circle segment between to arbitrary direction, with the command \cir? The manual says: *\cir<radius>{<diag> <orient> ...