Seiberg-Witten invariants and surface singularities.
Shadow world evaluation of the Yang-Mills measure.
Signature of rotors
Rotors were introduced as a generalization of mutation by Anstee, Przytycki and Rolfsen in 1987. In this paper we show that the Tristram-Levine signature is preserved by orientation-preserving rotations. Moreover, we show that any link invariant obtained from the characteristic polynomial of the Goeritz matrix, including the Murasugi-Trotter signature, is not changed by rotations. In 2001, P. Traczyk showed that the Conway polynomials of any pair of orientation-preserving rotants coincide. We show...
Signed ordered knotlike quandle presentations.
Skein algebras of the solid torus and symmetric spatial graphs
We use the topological invariant of spatial graphs introduced by S. Yamada to find necessary conditions for a spatial graph to be periodic with a prime period. The proof of the main result is based on computing the Yamada skein algebra of the solid torus and then proving that it injects into the Kauffman bracket skein algebra of the solid torus.
Skein modules of links in cylinders over surfaces.
Skein relations for Milnor's -invariants.
Skein theory for -quantum invariants.
Skein-theoretical derivation of some formulas of Habiro.
link homology.
Small hyperbolic 3-manifolds with geodesic boundary.
Small Seifert-fibered Dehn surgery on hyperbolic knots.
Span of the Jones polynomial of an alternating virtual link.
State-sum invariants of knotted curves and surfaces from quandle cohomology.
Sutured Heegaard diagrams for knots.