THE DIMENSION OF THE MODULI SPACE OF SOLUTIONS OF THE GRAVITATIONAL MONOPOLE EQUATIONS VIA THE ATIYAH-SINGER INDEX THEOREMS
Abstract
Our main Theorem is we determined via the Atiyah-Singer index theorem that the dimensions of the moduli space of solutions of the Gravitational monopole equations is c_1 (√L) ^2 + (57σ(X) − 30χ(X) )/4.
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