Homologically Z_2-thin knots have no 4-torsion in Khovanov homology

Alexander Shumakovitch, George Washington University

Abstract: I will show how to use the Bockstein spectral sequence to prove that homologically Z_2-thin knots have no 4-torsion in Khovanov homology. This completes the proof of the fact that the integer Khovanov homology of alternating knots is completely determined by their Jones polynomial and signature.