We present Bäcklund transformations for the non-commutative anti-self-dual Yang-Mills equation where the gauge group is G = GL(2), and use it to generate a series of exact solutions from a simple seed ...
Given a circle-valued Morse function of a closed oriented manifold, we prove that Reidemeister torsion over a non-commutative formal Laurent polynomial ring equals the product of a certain ...
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