A note on the string topology BV-algebra for $S^2$ with $Z_2$ coefficients

Kate Poirier, Thomas Tradler

Luc Menichi showed that the BV algebras on $H^{\bullet }(L{S}^2;Z_2)[-2]$ coming from string topology and the one on $H{H}^{\bullet }(H^{\bullet }(S^2;Z_2),H^{\bullet }(S^2;Z_2))$ using Poincaré d…