%0 Unpublished work %T THE DIMENSION OF THE MODULI SPACE OF SOLUTIONS OF THE GRAVITATIONAL MONOPOLE EQUATIONS VIA THE ATIYAH-SINGER INDEX THEOREMS %+ Laboratoire Alexander Grothendieck (LAG) %A Bhattacharya, Gourab %8 2023-02-28 %D 2023 %Z Mathematics [math] %Z Physics [physics]Preprints, Working Papers, ... %X 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. %G English %2 https://universite-paris-saclay.hal.science/hal-04007429/document %2 https://universite-paris-saclay.hal.science/hal-04007429/file/The_Dimension_of_the_moduli_space_of_solutions_of_the_Gravitational_Monopole_Equations_via_the_Atiyah_Singer_Index_theorems_.pdf %L hal-04007429 %U https://universite-paris-saclay.hal.science/hal-04007429 %~ CNRS %~ UNIV-PSUD %~ INSMI %~ UNIV-PARIS-SACLAY %~ UNIV-PSUD-SACLAY %~ UNIVERSITE-PARIS-SACLAY