On Topological 1D Gravity. I

Abstract

In topological 1D gravity, the genus zero one-point function combined with the gradient of the action function leads to a spectral curve and its special deformation. After quantization, the partition function is identified as an element in the bosonic Fock space uniquely specified by the Virasoro constraints.

References in corpus (3)

• Topological Strings and Integrable Hierarchies
• Explicit Formula for Witten-Kontsevich Tau-Function
• Quantum Deformation Theory of the Airy Curve and Mirror Symmetry of a Point

Cited by in corpus (8)

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• Remarks on intersection numbers and integrable hierarchies. I. Quasi-triviality
• Fat and Thin Emergent Geometries of Hermitian One-Matrix Models
• Orbifold Euler Characteristics of ${\overline{\mathcal{M}}}_{g,n}$
• On a Mean Field Theory of Topological 2D Gravity
• Topological 1D Gravity, KP Hierarchy, and Orbifold Euler Characteristics of ${\overline{\mathcal{M}}}_{g,n}$
• Noncommutativity in two-matrix model extension of one-dimensional topological gravity
• On Emergent Geometry of the Gromov-Witten Theory of Quintic Calabi-Yau Threefold