Developments in topological gravity
DOI10.1142/S0217751X18300296zbMath1404.83001WikidataQ128952775 ScholiaQ128952775MaRDI QIDQ4556803
Robbert Dijkgraaf, Edward Witten
Publication date: 28 November 2018
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
matrix modelsKdVmoduli space of Riemann surfacestopological gravitystwo developmentsVirasoro formulas
Virasoro and related algebras (17B68) KdV equations (Korteweg-de Vries equations) (35Q53) Applications of differential geometry to physics (53Z05) Topological field theories in quantum mechanics (81T45) Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Analogues of general relativity in lower dimensions (83C80)
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Cites Work
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- Strings in less than one dimension and the generalized KdV hierarchies
- Exactly solvable field theory of \(D=0\) closed and open strings
- Recursion between Mumford volumes of moduli spaces
- Topological strings and integrable hierarchies
- Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces
- Invariants of algebraic curves and topological expansion
- The symplectic nature of fundamental groups of surfaces
- On the homology of the moduli space of stable curves
- Chern forms and the Riemann tensor for the moduli space of curves
- Topological sigma models
- Simple geodesics and a series constant over Teichmüller space
- On quantum gauge theories in two dimensions
- Intersection theory on the moduli space of curves and the matrix Airy function
- Two dimensional gauge theories revisited
- Weil-Petersson volumes
- Two index theorems in odd dimensions
- Refined open intersection numbers and the Kontsevich-Penner matrix model
- Quantum geometry of refined topological strings
- On integrable \(c<1\) open-closed string theory
- Invertible cohomological field theories and Weil-Petersson volumes
- Matrix models and a proof of the open analog of Witten's conjecture
- Open intersection numbers and free fields
- Mirror symmetry and supermanifolds
- The index of elliptic operators. IV, V
- UNITARY MATRIX MODELS AND 2D QUANTUM GRAVITY
- Random Matrix Theory with an External Source
- Weil-Petersson volumes and intersection theory on the moduli space of curves
- Random matrix, singularities and open/close intersection numbers
- An algebro-geometric proof of Witten’s conjecture
- Nonperturbative two-dimensional quantum gravity
- Fukaya A ∞-structures Associated to Lefschetz Fibrations. II
- The Yang-Mills equations over Riemann surfaces
- Riemann surfaces and spin structures