A unified quantum SO(3) invariant for rational homology 3-spheres
نویسندگان
چکیده
منابع مشابه
Unified So(3) Quantum Invariants for Rational Homology 3–spheres
Let M be a rational homology 3–sphere with |H1(M,Z)| = b. For any odd divisor c of b, we construct a unified invariant IM,c lying in a cyclotomic completion of a certain polynomial ring, which dominates Witten–Reshetikhin–Turaev SO(3) invariants of M at all roots of unity whose order r satisfies (r, b) = c. For c = 1, we recover the unified invariant constructed by Le and Beliakova–Le. If b = 1...
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We construct an invariant JM of integral homology spheres M with values in a completion Ẑ[q] of the polynomial ring Z[q] such that the evaluation at each root of unity ζ gives the the SU(2) Witten-ReshetikhinTuraev invariant τζ(M) of M at ζ. Thus JM unifies all the SU(2) WittenReshetikhin-Turaev invariants of M . As a consequence, τζ(M) is an algebraic integer. Moreover, it follows that τζ(M) a...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2010
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-010-0304-5