Keiichi Sakai

## BV-structures on the homology of the framed long knot space

slide: PDF.
video: comming soon.
abstract:
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 $$H_*(K)$$.