THE DIMENSION OF THE MODULI SPACE OF SOLUTIONS OF THE GRAVITATIONAL MONOPOLE EQUATIONS VIA THE ATIYAH-SINGER INDEX THEOREMS - Université Paris-Saclay Access content directly
Preprints, Working Papers, ... Year : 2023

THE DIMENSION OF THE MODULI SPACE OF SOLUTIONS OF THE GRAVITATIONAL MONOPOLE EQUATIONS VIA THE ATIYAH-SINGER INDEX THEOREMS

Gourab Bhattacharya
  • Function : Author
  • PersonId : 1175137

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.
Fichier principal
Vignette du fichier
The_Dimension_of_the_moduli_space_of_solutions_of_the_Gravitational_Monopole_Equations_via_the_Atiyah_Singer_Index_theorems_.pdf (320.71 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-04007429 , version 1 (28-02-2023)

Identifiers

  • HAL Id : hal-04007429 , version 1

Cite

Gourab Bhattacharya. THE DIMENSION OF THE MODULI SPACE OF SOLUTIONS OF THE GRAVITATIONAL MONOPOLE EQUATIONS VIA THE ATIYAH-SINGER INDEX THEOREMS. 2023. ⟨hal-04007429⟩
361 View
26 Download

Share

Gmail Mastodon Facebook X LinkedIn More