Geodesic
Errata to “Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties”
Rietsch, Konstanze 1
1 Department 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 Cet article a éte moissonné depuis la source American Mathematical Society

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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 
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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

[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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