Moduli stacks of algebraic structures and deformation theory
Moduli stacks of algebraic structures and deformation theory
We connect the homotopy type of simplicial moduli spaces of algebraic structures to the cohomology of their deformation complexes. Then we prove that under several assumptions, mapping spaces of algebras over a monad in an appropriate diagram category form affine stacks in the sense of Toen–Vezzosi’s homotopical algebraic geometry. This …