higher order structure by higher order derivatives - MathOverflow
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2013-05-18T22:53:42Z
http://mathoverflow.net/feeds/question/71070
http://www.creativecommons.org/licenses/by-nc/2.5/rdf
http://mathoverflow.net/questions/71070/higher-order-structure-by-higher-order-derivatives
higher order structure by higher order derivatives
jim stasheff
2011-07-23T14:31:58Z
2011-07-24T11:35:09Z
<p>Anyone recall a structure determined by a 3rd order partial derivative?
not the general nth order of recent Baranovsky</p>
http://mathoverflow.net/questions/71070/higher-order-structure-by-higher-order-derivatives/71071#71071
Answer by Denis Serre for higher order structure by higher order derivatives
Denis Serre
2011-07-23T14:47:01Z
2011-07-23T14:47:01Z
<p>The <a href="http://en.wikipedia.org/wiki/Schwarzian_derivative" rel="nofollow">Schwarzian derivative</a> is third-order and plays an important role in the geometry of the projective line.</p>
http://mathoverflow.net/questions/71070/higher-order-structure-by-higher-order-derivatives/71119#71119
Answer by José Figueroa-O'Farrill for higher order structure by higher order derivatives
José Figueroa-O'Farrill
2011-07-24T11:35:09Z
2011-07-24T11:35:09Z
<p>The associativity condition for the symmetric 3-tensor in a <a href="http://en.wikipedia.org/wiki/Frobenius_manifold" rel="nofollow">Frobenius manifold</a> is a third-order PDE on the potential: the so-called WDVV equation.</p>