Unified quantum invariants and their refinements for homology 3-spheres with 2-torsion
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چکیده
منابع مشابه
Unified Quantum Invariants and Their Refinements for Homology 3–spheres with 2–torsion
For every rational homology 3–sphere with H1(M, Z) = (Z/2Z) n we construct a unified invariant (which takes values in a certain cyclotomic completion of a polynomial ring), such that the evaluation of this invariant at any odd root of unity provides the SO(3) Witten–Reshetikhin–Turaev invariant at this root and at any even root of unity the SU(2) quantum invariant. Moreover, this unified invari...
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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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2 Seiberg-Witten invariants of closed 3-manifolds 9 2.1 Generalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.2 The case b1 > 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.3 The case b1 = 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.4 The case b1 = 0 . . . . . . . . . . . . . . . . . . . . . . . . . . ...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2008
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm201-3-2