Explicit basis of cocycles for H^2(K(2), weighted densities on S^{1|2}) is determined.
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Second Cohomology Space of the Lie Superalgebra of contact vector fields $\mathcal{K}(2)$ with coefficients in the superspace of weighted densities on $S^{1|2}$
Explicit basis of cocycles for H^2(K(2), weighted densities on S^{1|2}) is determined.