We compute two-term skein modules of framed oriented links in oriented 3-manifolds. They contain the self-writhe and total linking number invariants of framed oriented links in a universal way. The relations in a natural presentation of the skein module are interpreted as monodromies in the space of immersions of circles into the 3-manifold.
First published in Transactions of the American Mathematical Society 356(10), published by the American Mathematical Society. http://www.ams.org/home/page
Kaiser, Uwe. (2004). "Quantum Deformations of Fundamental Groups of Oriented 3-Manifolds". Transactions of the American Mathematical Society, 356(10), 3869-3880.