BV-structures on the homology of the framed long knot space
video: comming soon.
I will introduce two (possibly the same) BV-algebra structures on
the homology of the space \(K\) of framed long knots.
The first one is a direct analogue to Chas-Sullivan's string topology.
The second one is described on the Hochschild homology associated
with any cyclic, multiplicative operad of graded modules.
The latter is a graded version of Tradler's BV-structure,
and can be applied to \(E^2\)-term of the
Goodwillie-Sinha-Salvatore spectral sequence converging to