Buch, Anders S.; Chaput, Pierre-Emmanuel; Perrin, Nicolas Seidel and Pieri products in cominuscule quantum K-theory. arXiv:2308.05307 Preprint, arXiv:2308.05307 [math.AG] (2023). MSC: 14N35 19E08 14N15 14M15 14E08 BibTeX Cite \textit{A. S. Buch} et al., ``Seidel and Pieri products in cominuscule quantum K-theory'', Preprint, arXiv:2308.05307 [math.AG] (2023) Full Text: arXiv OA License
Buch, Anders S.; Chaput, Pierre-Emmanuel; Mihalcea, Leonardo C.; Perrin, Nicolas Positivity of minuscule quantum K-theory. arXiv:2205.08630 Preprint, arXiv:2205.08630 [math.AG] (2022). MSC: 14N35 19E08 14N15 14M15 BibTeX Cite \textit{A. S. Buch} et al., ``Positivity of minuscule quantum K-theory'', Preprint, arXiv:2205.08630 [math.AG] (2022) Full Text: arXiv OA License
Cruz Morales, John Alexander; Mellit, Anton; Perrin, Nicolas; Smirnov, Maxim [Kuznetsov, Alexander] On quantum cohomology of Grassmannians of isotropic lines, unfoldings of \(A_n\)-singularities, and Lefschetz exceptional collections. (Sur la cohomologie quantique des grassmanniennes de droites isotropes, le déploiement de singularités de type \(A_n\) et les collections de Lefschetz exceptionnelles.) (English. French summary) Zbl 1440.14249 Ann. Inst. Fourier 69, No. 3, 955-991 (2019). MSC: 14N35 14F08 14J33 14M15 53D45 PDFBibTeX XMLCite \textit{J. A. Cruz Morales} et al., Ann. Inst. Fourier 69, No. 3, 955--991 (2019; Zbl 1440.14249) Full Text: DOI arXiv
Buch, Anders S.; Chaput, Pierre-Emmanuel; Mihalcea, Leonardo C.; Perrin, Nicolas A Chevalley formula for the equivariant quantum \(K\)-theory of cominuscule varieties. (English) Zbl 1420.14125 Algebr. Geom. 5, No. 5, 568-595 (2018). Reviewer: Letterio Gatto (Torino) MSC: 14N35 14C35 14M15 14N15 19L47 PDFBibTeX XMLCite \textit{A. S. Buch} et al., Algebr. Geom. 5, No. 5, 568--595 (2018; Zbl 1420.14125) Full Text: DOI arXiv
Buch, Anders S.; Chaput, Pierre-Emmanuel; Mihalcea, Leonardo C.; Perrin, Nicolas Projected Gromov-Witten varieties in cominuscule spaces. (English) Zbl 1423.14312 Proc. Am. Math. Soc. 146, No. 9, 3647-3660 (2018). MSC: 14N35 19E08 14N15 14M15 14M20 14M22 PDFBibTeX XMLCite \textit{A. S. Buch} et al., Proc. Am. Math. Soc. 146, No. 9, 3647--3660 (2018; Zbl 1423.14312) Full Text: DOI arXiv
Buch, Anders S.; Chaput, Pierre-Emmanuel; Mihalcea, Leonardo C.; Perrin, Nicolas Rational connectedness implies finiteness of quantum \(K\)-theory. (English) Zbl 1364.14044 Asian J. Math. 20, No. 1, 117-122 (2016). Reviewer: Letterio Gatto (Torino) MSC: 14N35 14M15 14M20 14M22 14N15 19E08 PDFBibTeX XMLCite \textit{A. S. Buch} et al., Asian J. Math. 20, No. 1, 117--122 (2016; Zbl 1364.14044) Full Text: DOI arXiv
Pasquier, B.; Perrin, N. Elliptic curves on some homogeneous spaces. (English) Zbl 1299.14041 Doc. Math. 18, 679-706 (2013). Reviewer: Johannes Walcher (Montréal) MSC: 14M15 14N35 PDFBibTeX XMLCite \textit{B. Pasquier} and \textit{N. Perrin}, Doc. Math. 18, 679--706 (2013; Zbl 1299.14041) Full Text: arXiv EMIS
Buch, Anders S.; Chaput, Pierre-Emmanuel; Mihalcea, Leonardo C.; Perrin, Nicolas Finiteness of cominuscule quantum \(K\)-theory. (Finitude de la \(K\)-théorie quantique cominuscule.) (English. French summary) Zbl 1282.14016 Ann. Sci. Éc. Norm. Supér. (4) 46, No. 3, 477-494 (2013). Reviewer: Letterio Gatto (Torino) MSC: 14C35 14N35 14N15 14M15 PDFBibTeX XMLCite \textit{A. S. Buch} et al., Ann. Sci. Éc. Norm. Supér. (4) 46, No. 3, 477--494 (2013; Zbl 1282.14016) Full Text: arXiv Link
Perrin, Nicolas Elliptic curves on spinor varieties. (English) Zbl 1276.14072 Cent. Eur. J. Math. 10, No. 4, 1393-1406 (2012). Reviewer: Edoardo Ballico (Povo) MSC: 14M17 14M15 14H45 14N35 PDFBibTeX XMLCite \textit{N. Perrin}, Cent. Eur. J. Math. 10, No. 4, 1393--1406 (2012; Zbl 1276.14072) Full Text: DOI
Chaput, Pierre-Emmanuel; Perrin, Nicolas Towards a Littlewood-Richardson rule for Kac-Moody homogeneous spaces. (English) Zbl 1244.14036 J. Lie Theory 22, No. 1, 17-80 (2012). Reviewer: Vladimir L. Popov (Moskva) MSC: 14M15 14N35 PDFBibTeX XMLCite \textit{P.-E. Chaput} and \textit{N. Perrin}, J. Lie Theory 22, No. 1, 17--80 (2012; Zbl 1244.14036) Full Text: arXiv Link
Chaput, P. E.; Perrin, N. On the quantum cohomology of adjoint varieties. (English) Zbl 1267.14065 Proc. Lond. Math. Soc. (3) 103, No. 2, 294-330 (2011). Reviewer: Clelia Pech (London) MSC: 14M15 14N35 PDFBibTeX XMLCite \textit{P. E. Chaput} and \textit{N. Perrin}, Proc. Lond. Math. Soc. (3) 103, No. 2, 294--330 (2011; Zbl 1267.14065) Full Text: DOI arXiv Link
Chaput, P.-E.; Perrin, N. Rationality of some Gromov – Witten varieties and application to quantum \(K\)-theory. (English) Zbl 1237.14058 Commun. Contemp. Math. 13, No. 1, 67-90 (2011). Reviewer: Victor Przyjalkowski (Moskva) MSC: 14M15 14N35 PDFBibTeX XMLCite \textit{P. E. Chaput} and \textit{N. Perrin}, Commun. Contemp. Math. 13, No. 1, 67--90 (2011; Zbl 1237.14058) Full Text: DOI arXiv
Chaput, P. E.; Manivel, L.; Perrin, N. Quantum cohomology of minuscule homogeneous spaces. III. Semi-simplicity and consequences. (English) Zbl 1219.14060 Can. J. Math. 62, No. 6, 1246-1263 (2010). Reviewer: Letterio Gatto (Trino) MSC: 14M15 14N35 PDFBibTeX XMLCite \textit{P. E. Chaput} et al., Can. J. Math. 62, No. 6, 1246--1263 (2010; Zbl 1219.14060) Full Text: DOI arXiv
Chaput, Pierre-Emmanuel; Manivel, Laurent; Perrin, Nicolas Affine symmetries of the equivariant quantum cohomology ring of rational homogeneous spaces. (English) Zbl 1178.14045 Math. Res. Lett. 16, No. 1, 7-21 (2009). Reviewer: Letterio Gatto (Trino) MSC: 14M15 14N35 PDFBibTeX XMLCite \textit{P.-E. Chaput} et al., Math. Res. Lett. 16, No. 1, 7--21 (2009; Zbl 1178.14045) Full Text: DOI arXiv
Chaput, Pierre-Emmanuel; Manivel, Laurent; Perrin, Nicolas Quantum cohomology of minuscule homogeneous spaces. (English) Zbl 1147.14023 Transform. Groups 13, No. 1, 47-89 (2008). Reviewer: Letterio Gatto (Trino) MSC: 14M15 14N35 PDFBibTeX XMLCite \textit{P.-E. Chaput} et al., Transform. Groups 13, No. 1, 47--89 (2008; Zbl 1147.14023) Full Text: DOI arXiv
Chaput, Pierre-Emmanuel; Manivel, Laurent; Perrin, Nicolas Quantum cohomology of minuscule homogeneous spaces. II. Hidden symmetries. (English) Zbl 1142.14033 Int. Math. Res. Not. 2007, No. 22, Article ID rnm107, 29 p. (2007). Reviewer: Letterio Gatto (Trino) MSC: 14M15 14N35 PDFBibTeX XMLCite \textit{P.-E. Chaput} et al., Int. Math. Res. Not. 2007, No. 22, Article ID rnm107, 29 p. (2007; Zbl 1142.14033) Full Text: DOI arXiv
Perrin, Nicolas Rational curves on minuscule Schubert varieties. (English) Zbl 1093.14070 J. Algebra 294, No. 2, 431-462 (2005). Reviewer: Luca Chiantini (Siena) MSC: 14M15 14N35 PDFBibTeX XMLCite \textit{N. Perrin}, J. Algebra 294, No. 2, 431--462 (2005; Zbl 1093.14070) Full Text: DOI arXiv