Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/matrix-model-tools-and-geometry-of-moduli-spaces-bKVXBj06U9
References (28)
-
R. Penner (1987)
The decorated Teichmüller space of punctured surfacesCommunications in Mathematical Physics, 113
-
J. Harer, D. Zagier (1986)
The Euler characteristic of the moduli space of curvesInventiones mathematicae, 85
-
M. Kontsevich (1992)
Intersection theory on the moduli space of curves and the matrix airy functionCommunications in Mathematical Physics, 147
-
Leonid Chekhov, Y. Makeenko (1992)
The Multicritical Kontsevich-Penner ModelModern Physics Letters A, 07
-
Y. Makeenko, G. Semenoff (1991)
PROPERTIES OF HERMITIAN MATRIX MODELS IN AN EXTERNAL FIELDModern Physics Letters A, 06
-
P. Deligné, D. Mumford (1969)
The irreducibility of the space of curves of given genusPublications Mathématiques de l'Institut des Hautes Études Scientifiques, 36
-
J. Ambjorn, Leonid Chekhov, Y. Makeenko (1992)
Higher genus correlators from the hermitian one-matrix modelPhysics Letters B, 282
-
S. Kharchev, A. Marshakov, A. Mironov, Andrey Morozov, A. Zabrodin (1991)
Unification of all string models with c<1 in the framework of generalized Kontsevich modelJetp Letters, 55
-
E. Witten (1990)
On the Structure of the Topological Phase of Two-dimensional GravityNuclear Physics, 340
-
A. Marshakov, A. Mironov, A. Morozov (1992)
On the equivalence of topological and quantum 2D gravityPhysics Letters B, 274
-
R. Dijkgraaf (1992)
Intersection theory, integrable hierarchies and topological field theory, 295
-
D. Mumford (1983)
Towards an Enumerative Geometry of the Moduli Space of Curves -
É. Brézin, D. Gross (1980)
The external field problem in the large N limit of QCDPhysics Letters B, 97
-
Y. Makeenko, A. Marshakov, A. Mironov, A. Morozov (1991)
Continuum versus discrete Virasoro in one matrix modelsNuclear Physics, 356
-
P. Francesco, P. Ginsparg, J. Zinn-Justin (1993)
2D gravity and random matricesPhysics Reports, 254
-
A. Mironov, A. Morozov (1990)
On the origin of Virasoro constraints in matrix model: lagrangian approachPhysics Letters B, 252
-
C. Itzykson, J. Zuber (1991)
Addendum to the paper "Combinatorics of the modular group II: the Kontsevich integrals"arXiv: High Energy Physics - Theory
-
D. Gross, M. Newman (1991)
Unitary and hermitian matrices in an external field (II). The Kontsevich model and continuum Virasoro constraintsNuclear Physics, 380
-
É. Brézin, V. Kazakov (1990)
Exactly Solvable Field Theories of Closed StringsPhysics Letters B, 236
-
L. Chekhov (1993)
Matrix model for discretized moduli spaceJournal of Geometry and Physics, 12
-
Leonid Chekhov, Y. Makeenko (1992)
A Hint on the External Field Problem for Matrix ModelsPhysics Letters B, 278
-
A. Morozov (1993)
Integrability and matrix modelsPhysics-Uspekhi, 37
-
J. Ambjorn, L. Chekhov, C. Kristjansen, Y. Makeenko (1993)
Matrix model calculations beyond the spherical limitNuclear Physics, 404
-
Y. Makeenko (1991)
Loop Equations and Virasoro Constraints in Matrix Models -
R. Dijkgraaf, H. Verlinde, E. Verlinde (1991)
Topological strings in d < 1Nuclear Physics, 352
-
V. Kazakov (1989)
The Appearance of Matter Fields from Quantum Fluctuations of 2D GravityModern Physics Letters A, 04
-
S. Kharchev, A. Marshakov, A. Mironov, A. Morozov (1993)
Generalized Kontsevich model versus Toda hierarchy and discrete matrix modelsNuclear Physics, 397
-
J. Harer (1988)
The cohomology of the moduli space of curves
- Publisher
- Springer Journals
- Copyright
- Copyright © 1997 by Kluwer Academic Publishers
- Subject
- Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1023/A:1005767914173
- Publisher site
- See Article on Publisher Site
Abstract
The relation between matrix models and geometrical structures on moduli spaces of algebraic curves is reviewed. The description of discretized moduli spaces and the generating function for intersection indices (cohomological classes) on these spaces is presented by the matrix model with the logarithmic potential when using the stratification procedure to express integrals over open strata via integrals over compactified spaces. We review the constraint equations and related Virasoro algebras appearing in various matrix models paying the special attention to the interrelations between these models. The explicit solutions to matrix models in 1/N expansion are presented.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Oct 15, 2004