Mirrors, Functoriality, and Derived Geometry

Abstract

In this survey, I suggest to approach the problem of functorial properties of quantum cohomology by drawing lessons from several versions of Mirror duality involving deformation spaces.

arXiv comment26 pages

References in corpus (11)

• Lie theory for nilpotent L-infinity algebras
• Deformation theory via differential graded Lie algebras
• Pre-Lie deformation theory
• Algebraic structures of $F$-manifolds via pre-Lie algebras
• Semicosimplicial DGLAs in deformation theory
• Representing the deformation $\infty$-groupoid
• Weak Mirror Symmetry of Complex Symplectic Algebras
• Schubert calculus and singularity theory
• On the derived category of ${\bar{M}}_{0,n}$
• Towards motivic quantum cohomology of ${\bar{M}}_{0,S}$
• Weak mirror symmetry of Lie algebras

Cited by in corpus (2)

• A DG-enhancement of D(QCoh(X)) with applications in deformation theory
• Formal deformation theory in left-proper model categories