Schreiber ∞-Lie theory - Contents

∞-Lie theory

∞-Lie groupoids and -algebroids

• ∞-Lie groupoid

• ∞-Lie algebroid

  • Chevalley-Eilenberg algebra

  • Weil algebra

• ∞-Lie differentiation and integration

  • path ∞-groupoid

  • infinitesimal path ∞-groupoid?

  • integration of ∞-Lie algebroid valued differential forms

∞-Chern-Weil theory

• invariant polynomial

• differential cohomology in an (∞,1)-topos

  • ∞-Lie algebroid valued differential forms

    • curvature?

    • integration

  • Cartan-Ehresmann ∞-connection

symplectic ∞-geometry

• symplectic ∞-Lie algebroid

Edit this sidebar