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2003 | 1 | 4 | 418-434

Tytuł artykułu

Schur and Schubert polynomials as Thom polynomials-cohomology of moduli spaces

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Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
The theory of Schur and Schubert polynomials is revisited in this paper from the point of view of generalized Thom polynomials. When we apply a general method to compute Thom polynomials for this case we obtain a new definition for (double versions of) Schur and Schubert polynomials: they will be solutions of interpolation problems.

Wydawca

Czasopismo

Rocznik

Tom

1

Numer

4

Strony

418-434

Opis fizyczny

Daty

wydano
2003-12-01
online
2003-12-01

Bibliografia

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  • [5] [FP89] W. Fulton and P. Pragacz: Schubert Varieties and Degeneracy Loci, Springer-Verlag, Berlin, 1998.
  • [6] [FR02] L. Fehér and R. Rimányi: “Classes of degeneraci loci for quivers-the Thom polynomial point of view”, Duke J. Math., Vol. 114, (2002), pp. 193–213. http://dx.doi.org/10.1215/S0012-7094-02-11421-5[Crossref]
  • [7] [FR03] L. M. Fehér and R. Rimányi: “Calculation of Thom polynomials and other cohomological obstructions for group actions”, to appear in Sao Carlos Singularities 2002, Cont. Math. AMS, 2003.
  • [8] [FRN03] L. Fehér, A. Némethi, R. Rimányi: Coincident root loci of binary forms, http://www.math.ohio-state.edu/∼rimanyi/cikkek, 2003.
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  • [10] [Ful98] W. Fulton: Intersection Theory. Springer, Berlin, 1984, 1998. [WoS]
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  • [12] [Kaz97] M.É. Kazarian: “Characteristic classes of singularity theory”, In: V.I. Arnold et al., (Eds): The Arnold-Gelfand mathematical seminars: geometry and singularity theory, Birkhauser Boston, Boston MA, 1997, pp. 325–340.
  • [13] [Kaz00] M. Kazarian: “Thom polynomials for Lagrange, Legendre and critical point singularities”, Isaac Newton Institute for Math. Sci., preprint, 2000.
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  • [21] [Rim01] R. Rimányi: “Thom polynomials, symmetries and incidences of singularities”, Inv. Math., Vol. 143, (2001), pp. 499–521. http://dx.doi.org/10.1007/s002220000113[Crossref]
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  • [24] [Vas88] V.A. Vassiliev: Lagrange and Legendre Characteristic Classes, Gordon and Breach, New York, 1988.

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Bibliografia

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bwmeta1.element.doi-10_2478_BF02475176
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