Degree of the generalized Plücker embedding of a quot scheme and quantum cohomology

Mathematische Annalen

Volumn 311, Issue 1, 1998, Pages 11-26

  Ravi, M S ^a   Rosenthal, J ^b   Wang, X ^c  

^a EAST CAROLINA UNIVERSITY   (United States)

^b UNIVERSITY OF NOTRE DAME   (United States)

^c TEXAS TECH UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032382554     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002080050173     Document Type: Article

References (16)

1. A. Bertram: Modular Schubert Calculus, Adv. in. Math., 128(1997), no. 2, pp. 289-305.
2. A. Bertram, G. Daskalopoulos, R. Wentworth: Gromov invariants for holomorphic maps from Riemann surfaces to grassmanians, Journal of AMS, 9 (1996), no. 2, pp. 529-571.
3. G. D. Forney: Minimal bases of rational vector spaces, with applications to multivariable linear systems, SIAM J. Control Optim. 13 (1975), no. 3, 493-520.
4. W. Fulton: Intersection Theory , Ergebnisse der Mathematik und ihrer Grenzgebiete, Berlin, Heidelberg, New York: Springer 1984.
5. R. Hartshorne: Algebraic geometry, Berlin, Heidelberg, New York: Springer 1977.
6. K. Intriligator: Fusion residues, Modern Physics Letters A 6 (1991), no. 38, 3543-3556.
7. S. L. Kleiman: Problem 15: Rigorous Foundations of Schubert's Enumerative Calculus, Bull. Am. Math. Soc. 28(1976), pp. 445-482.
8. V. Krishnamurthy, Combinatorics: Theory and applications, Ellis Horwood Limited, England, 1986.
9. J. Rosenthal: On dynamic feedback compensation and compactification of systems, SIAM J. Control Optim. 32 (1994), no. 1, 279-296.
10. M. S. Ravi, J. Rosenthal: A smooth compactification of the space of transfer functions with fixed Mcmillan degree, Acta Appl. Math. 34 (1994), pp. 329-352.
11. M. S. Ravi, J. Rosenthal, X. Wang: Dynamic pole assignment and schubert calculus, SIAM J. Control Optim. 34(1996), no. 3, pp. 813-832.
12. B. Siebert, G. Tian: "On Quantum Cohomology Rings of Fano Manifolds and a Formula of Vafa and Intriligator", preprint, 1994.
13. S. A. Stromme: On parametrized rational curves in grassmann varieties, Lecture Notes in Math., 1266, pp. 251-272. Berlin, Heidelberg, New York: Springer 1987
14. C. Vafa: Topological mirrors and quantum rings, Essays on Mirror Manifolds (International Press) (S. T. Yau, ed.), International Press, International Press, 1992.
15. E. Witten: The Verlinde algebra and the cohomology of the grassmannian, Geometry, Topology and Physics, pp. 357-422, Conf. Proc. Lecture Notes Geom. Topolgy, VI, International Press, Cambridge, MA 1995.
16. X. Wang, J. Rosenthal: A cell structure for the set of autoregressive systems, Linear Algebra Appl.205/206 (1994), pp. 1203-1226.