  For a compact quasi-smooth derived scheme M with (-1)-shifted cotangent
bundle N, there are at least two ways to localise the virtual cycle of N to M
via torus and cosection localisations, introduced by Jiang-Thomas. We produce
virtual cycles on both the projective completion and projectivisation and show
the ones on the former push down to Jiang-Thomas cycles and the one on the
latter computes the difference. Using similar ideas we give an expression for
the difference of the quintic and t-twisted quintic GW invariants of
Guo-Janda-Ruan.
