Quantum invariants for fibered links determined by genus and Hopf invariant.
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5 results for “Akutsu-Deguchi-Ohtsuki”
problem Quantum invariants of fibered links in .
method Genus bounds and Giroux-Goodman theorem on fiber surfaces.
result Top coefficient of ADO invariant is determined by Hopf invariant.
New connections found between knot invariants and Rozansky-Witten theory.
problem Understanding physical interpretations of knot invariants.
method Studying Rozansky-Witten theory with non-compact target spaces.
result New formulations of knot invariants using affine Grassmannians and q-series.
Study compares WRT and CGP invariants using Habiro's series.
problem Comparing WRT and CGP invariants for knots.
method Established relationship between Habiro's series and ADO invariants.
result Difference between WRT and CGP invariants determined by Habiro series.
We prove the ADO invariants are a q-holonomic family and establish recursion relations.
problem Understanding the -holonomic properties of ADO link invariants.
method Proving the ADO invariants are a -holonomic family and establishing recursion relations.
result The ADO invariants for are a -holonomic family, satisfying independent recursion relations.
The Witten-Reshetikhin-Turaev invariants extend the Jones polynomials of links in S^3 to invariants of links in 3-manifolds. Similarly, in a preceding paper, the authors constructed two 3-manifold invariants N_r and N^0_r which extend the Akutsu-Deguchi-Ohtsuki invariant of links in S^3 colored by complex numbers to li…