Efstratia Kalfagianni

Torsion in skein modules and shared knot surgeries

For every $g>0$, we construct a closed Haken 3-manifold $M_g$, whose only connected, incompressible surface is a non-separating surface of genus $g$ and discuss the torsion behavior of the Kauffman bracket skein module $\S(M_g,\Z[A^{\pm 1}])$. We also use properties of shared surgeries between knots to estimate (and of...