sigma09-049. 317KB Jun 04 2011 12:10:27 AM
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He obtained a sequence of vector fields L p , ( p being positive or negative integer) acting on the set of functions univalent inside the unit disk.. The full collection is available
The main idea is to consider the Lax pair ( 4 ) as equations for algebraic curves with respect to the unknown variables of the Painlev´e equation.. For the elliptic case,
By utilizing the modified Abel lemma on summation by parts, we shall show six unusual transformation formulae with two between them and other four expressing U n ( a, b, d ) and V n(
Key words: extended quantum symmetries; groupoids and algebroids; quantum algebraic topology (QAT); algebraic topology of quantum systems; symmetry breaking, paracrystals,
It is known, that the moduli space of flat bundles are deformation (the Whitham deformation) of the phase spaces of the Hitchin integrable systems – the moduli spaces of the
A generic elliptic Lagrangian immersion is uniquely determined, up to affine symplectic transformation, by the Fubini cubic
In addition, these critical sections can be thought of as being the integral manifolds of certain kinds of integrable multivector fields or Ehresmann connections, defined in the
First, the characteristic polynomials of Manin matrices are key objects to obtain the commutative family of the (elliptic) gl n Gaudin model by the degeneration. Then the Manin
