Geodesic
Errata to “Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties”
Rietsch, Konstanze1
1Department of Mathematics, King’s College London, Strand, London WC2R 2LS, United Kingdom
Journal of the American Mathematical Society, Tome 21 (2008) no. 2, pp. 611-614

Voir la notice de l'article provenant de la source American Mathematical Society

We make a correction to Remark 4.3 and the proof of Theorem 4.2 (Peterson’s Theorem) which identifies $qH^*(SL_n/P)$ with the coordinate ring $\mathcal O(\mathcal Y_P)$ of a certain affine stratum of the Peterson variety $\mathcal Y$. Explicitly, we introduce additional coordinates to obtain a complete coordinate system on $B^+w_P B^-/B^-$ and then show that they lie in the defining ideal of the Peterson variety $\mathcal Y_P$, hence play no role in the presentation of $\mathcal O(\mathcal Y_P)$.
DOI : 10.1090/S0894-0347-07-00580-2

Rietsch, Konstanze  1

1 Department of Mathematics, King’s College London, Strand, London WC2R 2LS, United Kingdom 
Rietsch, Konstanze. Errata to “Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties”. Journal of the American Mathematical Society, Tome 21 (2008) no. 2, pp. 611-614. doi: 10.1090/S0894-0347-07-00580-2
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[1] Rietsch, Konstanze Quantum cohomology rings of Grassmannians and total positivity Duke Math. J. 2001 523 553

[2] Rietsch, Konstanze Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties J. Amer. Math. Soc. 2003 363 392

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