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Euler continuants, M. M. Kapranov Kavli Institute for the Physics and Mathematics of the Universe |
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Abstract: Euler continuants are polynomials giving the universal numerators and denominators of finite continued fractions whose coefficients are independent variables. Remarkably, they admit categorical lifts which are certain complexes of functors obtained from iterated adjoints of a single functor. The totalizations of these complexes can be seen as higher analogs of spherical twists and cotwists. They lead to the concept of Language: English |