Ciocan-Fontanine, Ionut; Favero, David; Guéré, Jérémy; Kim, Bumsig; Shoemaker, Mark Fundamental factorization of a GLSM. Part I: Construction. (English) Zbl 07753147 Memoirs of the American Mathematical Society 1435. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6543-8/pbk; 978-1-4704-7590-1/ebook). v, 96 p. (2023). MSC: 14-02 14N35 14F08 53D45 PDFBibTeX XMLCite \textit{I. Ciocan-Fontanine} et al., Fundamental factorization of a GLSM. Part I: Construction. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07753147) Full Text: DOI arXiv
Ciocan-Fontanine, Ionuţ; Kim, Bumsig Quasimap wall-crossings and mirror symmetry. (English) Zbl 1475.14109 Publ. Math., Inst. Hautes Étud. Sci. 131, 201-260 (2020). Reviewer: Michel van Garrel (Birmingham) MSC: 14N35 14D20 14H10 14D23 14J33 PDFBibTeX XMLCite \textit{I. Ciocan-Fontanine} and \textit{B. Kim}, Publ. Math., Inst. Hautes Étud. Sci. 131, 201--260 (2020; Zbl 1475.14109) Full Text: DOI arXiv
Ciocan-Fontanine, Ionuţ; Kim, Bumsig Higher genus quasimap wall-crossing for semipositive targets. (English) Zbl 1408.14041 J. Eur. Math. Soc. (JEMS) 19, No. 7, 2051-2102 (2017). Reviewer: Sergiy Koshkin (Houston) MSC: 14D20 14D23 14N35 PDFBibTeX XMLCite \textit{I. Ciocan-Fontanine} and \textit{B. Kim}, J. Eur. Math. Soc. (JEMS) 19, No. 7, 2051--2102 (2017; Zbl 1408.14041) Full Text: DOI arXiv
Ciocan-Fontanine, Ionuţ; Kim, Bumsig Big \(I\)-functions. (English) Zbl 1369.14018 Fujino, Osamu (ed.) et al., Development of moduli theory – Kyoto 2013. Proceedings of the 6th Mathematical Society of Japan-Seasonal Institute, MSJ-SI, Kyoto, Japan, June 11–21, 2013. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-86497-032-7/hbk). Advanced Studies in Pure Mathematics 69, 323-347 (2016). MSC: 14D20 14D23 14N35 PDFBibTeX XMLCite \textit{I. Ciocan-Fontanine} and \textit{B. Kim}, Adv. Stud. Pure Math. 69, 323--347 (2016; Zbl 1369.14018) Full Text: arXiv
Cheong, Daewoong; Ciocan-Fontanine, Ionuţ; Kim, Bumsig Orbifold quasimap theory. (English) Zbl 1337.14012 Math. Ann. 363, No. 3-4, 777-816 (2015). Reviewer: Qile Chen (New York) MSC: 14D20 14D23 14N35 PDFBibTeX XMLCite \textit{D. Cheong} et al., Math. Ann. 363, No. 3--4, 777--816 (2015; Zbl 1337.14012) Full Text: DOI arXiv
Ciocan-Fontanine, Ionuţ; Kim, Bumsig Quasimap theory. (English) Zbl 1373.14014 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-805-6/hbk; 978-89-6105-803-2/set). 615-633 (2014). MSC: 14D20 14D23 14N35 PDFBibTeX XMLCite \textit{I. Ciocan-Fontanine} and \textit{B. Kim}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa. 615--633 (2014; Zbl 1373.14014)
Ciocan-Fontanine, Ionuţ; Kim, Bumsig Wall-crossing in genus zero quasimap theory and mirror maps. (English) Zbl 1322.14083 Algebr. Geom. 1, No. 4, 400-448 (2014). MSC: 14N35 14L24 14D23 PDFBibTeX XMLCite \textit{I. Ciocan-Fontanine} and \textit{B. Kim}, Algebr. Geom. 1, No. 4, 400--448 (2014; Zbl 1322.14083) Full Text: DOI arXiv
Behrend, Kai; Ciocan-Fontanine, Ionut; Hwang, Junho; Rose, Michael The derived moduli space of stable sheaves. (English) Zbl 1327.14058 Algebra Number Theory 8, No. 4, 781-812 (2014). Reviewer: Oleksandr Iena (Luxembourg) MSC: 14D20 14L24 17B70 PDFBibTeX XMLCite \textit{K. Behrend} et al., Algebra Number Theory 8, No. 4, 781--812 (2014; Zbl 1327.14058) Full Text: DOI arXiv
Ciocan-Fontanine, Ionuţ; Kim, Bumsig; Maulik, Davesh Stable quasimaps to GIT quotients. (English) Zbl 1282.14022 J. Geom. Phys. 75, 17-47 (2014). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 14D23 14M25 14L24 14A20 PDFBibTeX XMLCite \textit{I. Ciocan-Fontanine} et al., J. Geom. Phys. 75, 17--47 (2014; Zbl 1282.14022) Full Text: DOI arXiv
Ciocan-Fontanine, Ionuţ; Konvalinka, Matjaž; Pak, Igor Quantum cohomology of Hilb\(_n(\mathbb C^2)\) and the weighted hook walk on Young diagrams. (English) Zbl 1245.14056 J. Algebra 349, No. 1, 268-283 (2012). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 14N35 14C05 PDFBibTeX XMLCite \textit{I. Ciocan-Fontanine} et al., J. Algebra 349, No. 1, 268--283 (2012; Zbl 1245.14056) Full Text: DOI
Ciocan-Fontanine, Ionuţ; Konvalinka, Matjaž; Pak, Igor The weighted hook length formula. (English) Zbl 1227.05034 J. Comb. Theory, Ser. A 118, No. 6, 1703-1717 (2011). MSC: 05A15 05A17 PDFBibTeX XMLCite \textit{I. Ciocan-Fontanine} et al., J. Comb. Theory, Ser. A 118, No. 6, 1703--1717 (2011; Zbl 1227.05034) Full Text: DOI arXiv
Ciocan-Fontanine, Ionut; Kim, Bumsig; Maulik, Davesh Stable quasimaps to GIT quotients. arXiv:1106.3724 Preprint, arXiv:1106.3724 [math.AG] (2011). MSC: 14D20 14D23 14N35 BibTeX Cite \textit{I. Ciocan-Fontanine} et al., ``Stable quasimaps to GIT quotients'', Preprint, arXiv:1106.3724 [math.AG] (2011) Full Text: arXiv OA License
Ciocan-Fontanine, Ionuţ; Konvalinka, Matjaž; Pak, Igor Weighted branching formulas for the hook lengths. (English. French summary) Zbl 1374.05034 Proceedings of the 22nd annual international conference on formal power series and algebraic combinatorics, FPSAC 2010, San Francisco, USA, August 2–6, 2010. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 259-270 (2010). MSC: 05A19 05E10 PDFBibTeX XMLCite \textit{I. Ciocan-Fontanine} et al., in: Proceedings of the 22nd annual international conference on formal power series and algebraic combinatorics, FPSAC 2010, San Francisco, USA, August 2--6, 2010. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 259--270 (2010; Zbl 1374.05034) Full Text: Link
Ciocan-Fontanine, Ionuţ; Kim, Bumsig Moduli stacks of stable toric quasimaps. (English) Zbl 1203.14014 Adv. Math. 225, No. 6, 3022-3051 (2010). Reviewer: Vehbi Emrah Paksoy (Ft. Lauderdale) MSC: 14D20 14D23 14M25 14N35 PDFBibTeX XMLCite \textit{I. Ciocan-Fontanine} and \textit{B. Kim}, Adv. Math. 225, No. 6, 3022--3051 (2010; Zbl 1203.14014) Full Text: DOI arXiv
Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail Virtual fundamental classes via dg-manifolds. (English) Zbl 1159.14002 Geom. Topol. 13, No. 3, 1779-1804 (2009). MSC: 14C17 14F05 14A20 PDFBibTeX XMLCite \textit{I. Ciocan-Fontanine} and \textit{M. Kapranov}, Geom. Topol. 13, No. 3, 1779--1804 (2009; Zbl 1159.14002) Full Text: DOI arXiv
Bertram, Aaron; Ciocan-Fontanine, Ionuţ; Kim, Bumsig Gromov-Witten invariants for abelian and nonabelian quotients. (English) Zbl 1166.14035 J. Algebr. Geom. 17, No. 2, 275-294 (2008). Reviewer: Sergiy Koshkin (Houston) MSC: 14N35 53D45 PDFBibTeX XMLCite \textit{A. Bertram} et al., J. Algebr. Geom. 17, No. 2, 275--294 (2008; Zbl 1166.14035) Full Text: DOI arXiv
Ciocan-Fontanine, Ionuţ; Kim, Bumsig; Sabbah, Claude The abelian/nonabelian correspondence and Frobenius manifolds. (English) Zbl 1164.14012 Invent. Math. 171, No. 2, 301-343 (2008). Reviewer: Sergiy Koshkin (Evanston) MSC: 14N35 53D45 14L30 PDFBibTeX XMLCite \textit{I. Ciocan-Fontanine} et al., Invent. Math. 171, No. 2, 301--343 (2008; Zbl 1164.14012) Full Text: DOI arXiv
Bertram, Aaron; Ciocan-Fontanine, Ionuţ; Kim, Bumsig Two proofs of a conjecture of Hori and Vafa. (English) Zbl 1082.14055 Duke Math. J. 126, No. 1, 101-136 (2005). Reviewer: Domenico Fiorenza (Roma) MSC: 14N35 14M15 PDFBibTeX XMLCite \textit{A. Bertram} et al., Duke Math. J. 126, No. 1, 101--136 (2005; Zbl 1082.14055) Full Text: DOI arXiv
Ciocan-Fontanine, Ionut; Kapranov, Mikhail M. Derived Hilbert schemes. (English) Zbl 1074.14003 J. Am. Math. Soc. 15, No. 4, 787-815 (2002). Reviewer: Werner Kleinert (Berlin) MSC: 14C05 14H10 14N35 14M30 18E30 18G50 PDFBibTeX XMLCite \textit{I. Ciocan-Fontanine} and \textit{M. M. Kapranov}, J. Am. Math. Soc. 15, No. 4, 787--815 (2002; Zbl 1074.14003) Full Text: DOI arXiv
Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail Derived Quot schemes. (English) Zbl 1050.14042 Ann. Sci. Éc. Norm. Supér. (4) 34, No. 3, 403-440 (2001). Reviewer: Hiroshi Hosokawa (Yokohama) MSC: 14M17 18E30 PDFBibTeX XMLCite \textit{I. Ciocan-Fontanine} and \textit{M. Kapranov}, Ann. Sci. Éc. Norm. Supér. (4) 34, No. 3, 403--440 (2001; Zbl 1050.14042) Full Text: DOI arXiv Numdam EuDML
Batyrev, Victor V.; Ciocan-Fontanine, Ionuţ; Kim, Bumsig; van Straten, Duco Mirror symmetry and toric degenerations of partial flag manifolds. (English) Zbl 1022.14014 Acta Math. 184, No. 1, 1-39 (2000). MSC: 14M15 14J32 14N35 14J45 PDFBibTeX XMLCite \textit{V. V. Batyrev} et al., Acta Math. 184, No. 1, 1--39 (2000; Zbl 1022.14014) Full Text: DOI arXiv
Ciocan-Fontanine, Ionuţ On quantum cohomology rings of partial flag varieties. (English) Zbl 0969.14039 Duke Math. J. 98, No. 3, 485-524 (1999). Reviewer: Martin Schlichenmaier (Mannheim) MSC: 14N35 14M15 14N15 14M17 53D45 PDFBibTeX XMLCite \textit{I. Ciocan-Fontanine}, Duke Math. J. 98, No. 3, 485--524 (1999; Zbl 0969.14039) Full Text: DOI arXiv
Bertram, Aaron; Ciocan-Fontanine, Ionuţ; Fulton, William Quantum multiplication of Schur polynomials. (English) Zbl 0936.05086 J. Algebra 219, No. 2, 728-746 (1999). Reviewer: Markus Fulmek (Wien) MSC: 05E10 05E05 14M15 PDFBibTeX XMLCite \textit{A. Bertram} et al., J. Algebra 219, No. 2, 728--746 (1999; Zbl 0936.05086) Full Text: DOI arXiv
Ciocan-Fontanine, Ionuţ The quantum cohomology ring of flag varieties. (English) Zbl 0920.14027 Trans. Am. Math. Soc. 351, No. 7, 2695-2729 (1999). MSC: 14M15 14N10 14F99 81T10 PDFBibTeX XMLCite \textit{I. Ciocan-Fontanine}, Trans. Am. Math. Soc. 351, No. 7, 2695--2729 (1999; Zbl 0920.14027) Full Text: DOI
Batyrev, V. V.; Ciocan-Fontanine, I.; Kim, B.; Van Straten, D. Conifold transitions and mirror symmetry for Calabi-Yau complete intersections in Grassmannians. (English) Zbl 0896.14025 Nucl. Phys., B 514, No. 3, 640-666 (1998). MSC: 14J32 14M10 81T30 PDFBibTeX XMLCite \textit{V. V. Batyrev} et al., Nucl. Phys., B 514, No. 3, 640--666 (1998; Zbl 0896.14025) Full Text: DOI arXiv
Ciocan-Fontanine, Ionuţ Quantum cohomology of flag varieties. (English) Zbl 0847.14011 Int. Math. Res. Not. 1995, No. 6, 263-277 (1995). Reviewer: N.Andruskiewitsch (Córdoba) MSC: 14F99 14M15 81T10 32Q15 PDFBibTeX XMLCite \textit{I. Ciocan-Fontanine}, Int. Math. Res. Not. 1995, No. 6, 263--277 (1995; Zbl 0847.14011) Full Text: DOI arXiv