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math.NT2017
K-theory of rational quadratic forms
Igor Nikolaev
We compute the genus of a rational quadratic form in terms of the K-theory of a C*-algebra attached to the adelic orthogonal group of the form. As a corollary, one gets a higher co…
math.GT2017★ 3 cited
Remark on arithmetic topology
Igor Nikolaev
We formalize the arithmetic topology, i.e. a relationship between knots and primes. Namely, using the notion of a cluster C*-algebra we construct a functor from the category of 3-d…