Symplectic structure on the character varieties of Sasakian threefolds

Indranil Biswas, Ambar N. Sengupta

Take a compact Sasakian threefold $M$ and consider the associated irreducible $\text{SL}(r,\mathbb{C})$-character variety ${\mathcal R} := \text{Hom}(π_1(M, x_0), \text{SL}(r, {\…