Noncommutative rigidity of the moduli stack of stable pointed curves

Abstract

We prove that the second Hochschild cohomology group of the moduli stack of stable $n$-pointed genus $g$ curves vanishes for all but finitely many $(g,n)$.

v3: major revision. title changed. main results became unconditional. 32 pages

References in corpus (5)

• Blowing up non-commutative smooth surfaces
• Introduction to the log minimal model program for log canonical pairs
• The automorphism group of ${\overline{M}}_{g,n}$
• The Chen-Ruan cohomology of moduli of curves of genus 2 with marked points
• Compact moduli of noncommutative projective planes

Cited by in corpus (1)

• On the rigidity of moduli of curves in arbitrary characteristic