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Quantum intersection rings

P. Di Francesco
(
- Saclay
)
,
C. Itzykson
(
- Saclay
)

Sep, 1994

73 pages

e-Print:

hep-th/9412175 [hep-th]

Report number:

SACLAY-SPH-T-94-111

View in:

ADS Abstract Service

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Abstract: (DESY)

We examine a few problems of enumerative geometry and present their solutions in the framework of deformed (quantum) cohomology rings.

Note:

73 p, uuencoded, uses harvmac in b mode, 6 figures included Report-no: Saclay preprint SPhT 94/111

References(9)

Figures(0)

Two-dimensional gravity and intersection theory on moduli space

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- Surveys Diff.Geom. 1 (1991) 243-310,
- In *Brezin, E. (ed.), Wadia, S.R. (ed.): The large N expansion in quantum field theory and statistical physics* 871-938. and In *Cambridge 1990, Proceedings, Surveys in differential geometry* 243-310
•
DOI:
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Topological strings in d < 1

Robbert Dijkgraaf
(
- Princeton U.
)
,
Herman L. Verlinde
(
- Princeton U.
)
,
Erik P. Verlinde
(
- Santa Barbara, KITP
)

- Nucl.Phys.B 352 (1991) 59-86
•
DOI:
- 10.1016/0550-3213(91)90129-L

Integrable systems in topological field theory

B. Dubrovin
(
- INFN, Naples
)

- Nucl.Phys.B 379 (1992) 627-689
•
DOI:
- 10.1016/0550-3213(92)90137-Z

- Duke Math.J. 46 685

Intersection theory on the moduli space of curves and the matrix Airy function

M. Kontsevich
(
- Bonn, Max Planck Inst., Math.
)

- Commun.Math.Phys. 147 (1992) 1-23
•
DOI:
- 10.1007/BF02099526

Combinatorics of the modular group. 2. The Kontsevich integrals

C. Itzykson
(
- Saclay
)
,
J.B. Zuber
(
- Saclay
)

- Int.J.Mod.Phys.A 7 (1992) 5661-5705
•
e-Print:
- hep-th/9201001
•
DOI:
- 10.1142/S0217751X92002581

- J.Math.Phys. 23 2033

- Lett.Nuovo Cim. 30 539

- Phys.Lett.A 115 329