BVstructures on the homology of the framed long knot space
video: comming soon.
abstract:
I will introduce two (possibly the same) BValgebra structures on
the homology of the space \(K\) of framed long knots.
The first one is a direct analogue to ChasSullivan'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 BVstructure,
and can be applied to \(E^2\)term of the
GoodwillieSinhaSalvatore spectral sequence converging to
\(H_*(K)\).
