higher order structure by higher order derivatives - MathOverflow most recent 30 from http://mathoverflow.net 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 JosÃ© Figueroa-O'Farrill for higher order structure by higher order derivatives JosÃ© 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>