منابع مشابه
Integrality of Quantum 3–manifold Invariants and Rational Surgery Formula
We prove that the Witten–Reshetikhin–Turaev (WRT) SO(3) invariant of an arbitrary 3–manifold M is always an algebraic integer. Moreover, we give a rational surgery formula for the unified invariant dominating WRT SO(3) invariants of rational homology 3–spheres at roots of unity of order co–prime with the torsion. As an application, we compute the unified invariant for Seifert fibered spaces and...
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For integers k ≥ 2, we consider the integrality of quotients of Wronskians involving certain normalizations of the Andrews-Gordon q-series (see [2]) ∏ 1≤n "≡ 0,±i (mod 2k+1) 1 1 − qn . This study is motivated by the appearance of these series in conformal field theory as irreducible characters of Virasoro minimal modules. We establish an upper bound on primes p for which such quotients of Wrons...
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Iteration semirings are Conway semirings satisfying Conway’s group identities. We show that the semirings Nrat〈〈Σ∗〉〉 of rational power series with coefficients in the semiring N of natural numbers are the free partial iteration semirings. Moreover, we characterize the semirings Nrat ∞ 〈〈Σ∗〉〉 as the free semirings in the variety of iteration semirings defined by three additional simple identitie...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1994
ISSN: 0021-8693
DOI: 10.1006/jabr.1994.1070