Bridgeland, Tom; Strachan, Ian A. B. Complex hyperkähler structures defined by Donaldson-Thomas invariants. (English) Zbl 1475.14108 Lett. Math. Phys. 111, No. 2, Paper No. 54, 24 p. (2021). Reviewer: Shintaro Yanagida (Nagoya) MSC: 14N35 53C26 14J42 PDFBibTeX XMLCite \textit{T. Bridgeland} and \textit{I. A. B. Strachan}, Lett. Math. Phys. 111, No. 2, Paper No. 54, 24 p. (2021; Zbl 1475.14108) Full Text: DOI arXiv
Dubrovin, Boris; Strachan, Ian A. B.; Zhang, Youjin; Zuo, Dafeng Extended affine Weyl groups of BCD-type: their Frobenius manifolds and Landau-Ginzburg superpotentials. (English) Zbl 1418.53088 Adv. Math. 351, 897-946 (2019). MSC: 53D45 PDFBibTeX XMLCite \textit{B. Dubrovin} et al., Adv. Math. 351, 897--946 (2019; Zbl 1418.53088) Full Text: DOI arXiv
Strachan, Ian A. B.; Zuo, Dafeng Frobenius manifolds and Frobenius algebra-valued integrable systems. (English) Zbl 1372.53090 Lett. Math. Phys. 107, No. 6, 997-1026 (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53D45 37K10 35Q53 PDFBibTeX XMLCite \textit{I. A. B. Strachan} and \textit{D. Zuo}, Lett. Math. Phys. 107, No. 6, 997--1026 (2017; Zbl 1372.53090) Full Text: DOI arXiv
Strachan, Ian A. B.; Stedman, Richard Generalized Legendre transformations and symmetries of the WDVV equations. (English) Zbl 1362.35009 J. Phys. A, Math. Theor. 50, No. 9, Article ID 095202, 17 p. (2017). MSC: 35A22 35B06 57R57 53D45 PDFBibTeX XMLCite \textit{I. A. B. Strachan} and \textit{R. Stedman}, J. Phys. A, Math. Theor. 50, No. 9, Article ID 095202, 17 p. (2017; Zbl 1362.35009) Full Text: DOI arXiv
David, Liana; Strachan, Ian A. B. Symmetries of \(F\)-manifolds with eventual identities and special families of connections. (English) Zbl 1348.53081 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 13, No. 3, 641-674 (2014). Reviewer: Hao Ding (Chengdu) MSC: 53D45 14H70 PDFBibTeX XMLCite \textit{L. David} and \textit{I. A. B. Strachan}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 13, No. 3, 641--674 (2014; Zbl 1348.53081) Full Text: DOI arXiv
David, Liana; Strachan, Ian A. B. \(tt^\ast\)-geometry on the big phase space. (English) Zbl 1301.81255 Commun. Math. Phys. 329, No. 1, 295-323 (2014). Reviewer: Isamu Dôku (Saitama) MSC: 81T45 81S30 14C30 53D45 14D21 81V17 PDFBibTeX XMLCite \textit{L. David} and \textit{I. A. B. Strachan}, Commun. Math. Phys. 329, No. 1, 295--323 (2014; Zbl 1301.81255) Full Text: DOI arXiv
Morrison, Ewan K.; Strachan, Ian A. B. Polynomial modular Frobenius manifolds. (English) Zbl 1266.53079 Physica D 241, No. 23-24, 2145-2155 (2012). Reviewer: Loek Spitz (Amsterdam) MSC: 53D45 PDFBibTeX XMLCite \textit{E. K. Morrison} and \textit{I. A. B. Strachan}, Physica D 241, No. 23--24, 2145--2155 (2012; Zbl 1266.53079) Full Text: DOI arXiv
Strachan, Ian A. B. Simple elliptic singularities: A note on their G-function. (English) Zbl 1256.53056 Asian J. Math. 16, No. 3, 409-426 (2012). MSC: 53D55 PDFBibTeX XMLCite \textit{I. A. B. Strachan}, Asian J. Math. 16, No. 3, 409--426 (2012; Zbl 1256.53056) Full Text: DOI arXiv Euclid
Morrison, Ewan K.; Strachan, Ian A. B. Modular Frobenius manifolds and their invariant flows. (English) Zbl 1230.53083 Int. Math. Res. Not. 2011, No. 17, 3957-3982 (2011). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 53D45 PDFBibTeX XMLCite \textit{E. K. Morrison} and \textit{I. A. B. Strachan}, Int. Math. Res. Not. 2011, No. 17, 3957--3982 (2011; Zbl 1230.53083) Full Text: DOI arXiv Link
David, Liana; Strachan, Ian A. B. Dubrovin’s duality for \(F\)-manifolds with eventual identities. (English) Zbl 1215.53080 Adv. Math. 226, No. 5, 4031-4060 (2011). Reviewer: Akira Asada (Takarazuka) MSC: 53D45 53B50 PDFBibTeX XMLCite \textit{L. David} and \textit{I. A. B. Strachan}, Adv. Math. 226, No. 5, 4031--4060 (2011; Zbl 1215.53080) Full Text: DOI arXiv
Strachan, Ian A. B. Weyl groups and elliptic solutions of the WDVV equations. (English) Zbl 1197.17018 Adv. Math. 224, No. 5, 1801-1838 (2010). Reviewer: Vehbi Emrah Paksoy (Ft. Lauderdale) MSC: 17B80 37K10 53B50 53D45 PDFBibTeX XMLCite \textit{I. A. B. Strachan}, Adv. Math. 224, No. 5, 1801--1838 (2010; Zbl 1197.17018) Full Text: DOI arXiv Link
Strachan, Ian A. B. Differential and functional identities for the elliptic trilogarithm. (English) Zbl 1213.11142 SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 031, 12 p. (2009). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 11G55 11F55 33B30 53D45 PDFBibTeX XMLCite \textit{I. A. B. Strachan}, SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 031, 12 p. (2009; Zbl 1213.11142) Full Text: DOI arXiv EuDML
Feigin, Misha (ed.); Korff, Christian (ed.); Strachan, Ian (ed.) Special issue: Selected papers based on the presentations at the workshop on algebraic aspects of integrable systems, ISLAND 3, Islay, UK, July 3–7, 2007. (English) Zbl 1200.53006 Glasg. Math. J. 51A, 1-163 (2009). MSC: 53-06 37-06 81-06 37Kxx 00B25 PDFBibTeX XML
Ferguson, James T.; Strachan, Ian A. B. Logarithmic deformations of the rational superpotential/Landau-Ginzburg construction of solutions of the WDVV equations. (English) Zbl 1148.53067 Commun. Math. Phys. 280, No. 1, 1-25 (2008). MSC: 53D45 37K10 81R12 37K20 PDFBibTeX XMLCite \textit{J. T. Ferguson} and \textit{I. A. B. Strachan}, Commun. Math. Phys. 280, No. 1, 1--25 (2008; Zbl 1148.53067) Full Text: DOI arXiv Link
Riley, Andrew; Strachan, Ian A. B. Duality for Jacobi group orbit spaces and elliptic solutions of the WDVV equations. (English) Zbl 1105.53071 Lett. Math. Phys. 77, No. 3, 221-234 (2006). MSC: 53D45 11F55 PDFBibTeX XMLCite \textit{A. Riley} and \textit{I. A. B. Strachan}, Lett. Math. Phys. 77, No. 3, 221--234 (2006; Zbl 1105.53071) Full Text: DOI arXiv Link
David, Liana; Strachan, Ian A. B. Conformally flat pencils of metrics, Frobenius structures and a modified Saito construction. (English) Zbl 1096.53055 J. Geom. Phys. 56, No. 9, 1561-1575 (2006). MSC: 53D45 37K10 PDFBibTeX XMLCite \textit{L. David} and \textit{I. A. B. Strachan}, J. Geom. Phys. 56, No. 9, 1561--1575 (2006; Zbl 1096.53055) Full Text: DOI arXiv Link
Kokotov, Alexey; Strachan, Ian A. B. On the isomonodromic tau-function for the Hurwitz spaces of branched coverings of genus zero and one. (English) Zbl 1084.32501 Math. Res. Lett. 12, No. 5-6, 857-875 (2005). MSC: 32G15 53D45 81T45 PDFBibTeX XMLCite \textit{A. Kokotov} and \textit{I. A. B. Strachan}, Math. Res. Lett. 12, No. 5--6, 857--875 (2005; Zbl 1084.32501) Full Text: DOI arXiv
David, Liana; Strachan, Ian A. B. Compatible metrics on a manifold and nonlocal bi-Hamiltonian stuctures. (English) Zbl 1076.53039 Int. Math. Res. Not. 2004, No. 66, 3533-3557 (2004). Reviewer: Marian Hotloś (Wrocław) MSC: 53C20 37J35 PDFBibTeX XMLCite \textit{L. David} and \textit{I. A. B. Strachan}, Int. Math. Res. Not. 2004, No. 66, 3533--3557 (2004; Zbl 1076.53039) Full Text: DOI arXiv
Strachan, I. A. B. Frobenius manifolds: Natural submanifolds and induced bi-Hamiltonian structures. (English) Zbl 1049.53060 Differ. Geom. Appl. 20, No. 1, 67-99 (2004). Reviewer: A. Neagu (Iaşi) MSC: 53D45 37K05 37K10 PDFBibTeX XMLCite \textit{I. A. B. Strachan}, Differ. Geom. Appl. 20, No. 1, 67--99 (2004; Zbl 1049.53060) Full Text: DOI arXiv
Strachan, Ian How to count curves: from nineteenth-century problems to twenty-first-century solutions. (English) Zbl 1059.53071 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 361, No. 1813, 2633-2647 (2003). Reviewer: Mircea Puta (Timişoara) MSC: 53D45 14N10 PDFBibTeX XMLCite \textit{I. Strachan}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 361, No. 1813, 2633--2647 (2003; Zbl 1059.53071) Full Text: DOI
Strachan, Ian A. B. Symmetries and solutions of Getzler’s equation for Coxeter and extended affine Weyl Frobenius manifolds. (English) Zbl 1034.53092 Int. Math. Res. Not. 2003, No. 19, 1035-1051 (2003). Reviewer: Mircea Puta (Timişoara) MSC: 53D45 PDFBibTeX XMLCite \textit{I. A. B. Strachan}, Int. Math. Res. Not. 2003, No. 19, 1035--1051 (2003; Zbl 1034.53092) Full Text: DOI arXiv
Strachan, Ian A. B. Frobenius manifolds and bi-Hamiltonian structures on discriminant hypersurfaces. (English) Zbl 1038.53085 Guest, Martin (ed.) et al., Integrable systems, topology, and physics. A conference on integrable systems in differential geometry, University of Tokyo, Japan, July 17–21, 2000. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2939-4/pbk). Contemp. Math. 309, 251-265 (2002). Reviewer: Mircea Puta (Timişoara) MSC: 53D45 53B25 37K10 PDFBibTeX XMLCite \textit{I. A. B. Strachan}, Contemp. Math. 309, 251--265 (2002; Zbl 1038.53085)
Strachan, I. A. B. Deformations of dispersionless KdV hierarchies. (English) Zbl 0988.35152 Lett. Math. Phys. 58, No. 2, 129-140 (2001). MSC: 35Q53 37K05 53D55 37K30 PDFBibTeX XMLCite \textit{I. A. B. Strachan}, Lett. Math. Phys. 58, No. 2, 129--140 (2001; Zbl 0988.35152) Full Text: DOI arXiv
Strachan, I. A. B. Frobenius submanifolds. (English) Zbl 0991.53057 J. Geom. Phys. 38, No. 3-4, 285-307 (2001). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D45 81T40 53B25 PDFBibTeX XMLCite \textit{I. A. B. Strachan}, J. Geom. Phys. 38, No. 3--4, 285--307 (2001; Zbl 0991.53057) Full Text: DOI arXiv
Strachan, I. A. B. Degenerate Frobenius manifolds and the bi-Hamiltonian structure of rational Lax equations. (English) Zbl 0951.53054 J. Math. Phys. 40, No. 10, 5058-5079 (1999). Reviewer: M.Crâşmăreanu (Iaşi) MSC: 53D45 37K10 PDFBibTeX XMLCite \textit{I. A. B. Strachan}, J. Math. Phys. 40, No. 10, 5058--5079 (1999; Zbl 0951.53054) Full Text: DOI arXiv
Grant, James D. E.; Strachan, I. A. B. Hypercomplex integrable systems. (English) Zbl 0934.35181 Nonlinearity 12, No. 5, 1247-1261 (1999). MSC: 35Q58 37K25 32L25 53A30 PDFBibTeX XMLCite \textit{J. D. E. Grant} and \textit{I. A. B. Strachan}, Nonlinearity 12, No. 5, 1247--1261 (1999; Zbl 0934.35181) Full Text: DOI arXiv
Dancer, Andrew S.; Strachan, Ian A. B. Cohomogeneity-one Kähler metrics. (English) Zbl 0837.53052 Huggett, Stephen (ed.), Twistor theory. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 169, 9-27 (1995). Reviewer: N.Blažić (Beograd) MSC: 53C55 PDFBibTeX XMLCite \textit{A. S. Dancer} and \textit{I. A. B. Strachan}, Lect. Notes Pure Appl. Math. 169, 9--27 (1995; Zbl 0837.53052)
Strachan, Ian A. B. Integrable and near-integrable dynamical systems associated with Bianchi IX metrics. (English) Zbl 0856.53065 Theor. Math. Phys. 99, No. 3, 790-795 (1994) and Teor. Mat. Fiz. 99, No. 3, 545-551 (1994). Reviewer: S.N.Pandey (Gorakhpur) MSC: 53Z05 83C05 58Z05 PDFBibTeX XMLCite \textit{I. A. B. Strachan}, Theor. Math. Phys. 99, No. 3, 790--795 (1994) and Teor. Mat. Fiz. 99, No.~3, 545--551 (1994; Zbl 0856.53065) Full Text: DOI
Strachan, I. A. B. Moduli space metrics for axially symmetric instantons. (English) Zbl 0844.57011 Proc. R. Soc. Lond., Ser. A 446, No. 1928, 479-497 (1994). Reviewer: C.S.Sharma (London) MSC: 57M50 58D30 53C07 PDFBibTeX XMLCite \textit{I. A. B. Strachan}, Proc. R. Soc. Lond., Ser. A 446, No. 1928, 479--497 (1994; Zbl 0844.57011) Full Text: DOI
Dancer, Andrew S.; Strachan, Ian A. B. Kähler-Einstein metrics with \(SU(2)\) action. (English) Zbl 0811.53046 Math. Proc. Camb. Philos. Soc. 115, No. 3, 513-525 (1994). Reviewer: W.-K.To (Singapore) MSC: 53C25 53B35 PDFBibTeX XMLCite \textit{A. S. Dancer} and \textit{I. A. B. Strachan}, Math. Proc. Camb. Philos. Soc. 115, No. 3, 513--525 (1994; Zbl 0811.53046) Full Text: DOI
Strachan, I. A. B. Null reductions of the Yang-Mills self-duality equations and integrable models in (2+1)-dimensions. (English) Zbl 0793.35083 Clarkson, Peter A. (ed.), Applications of analytic and geometric methods to nonlinear differential equations. Proceedings of the NATO Advanced Research Workshop, Exeter, United Kingdom, July 14-19, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 413, 65-75 (1993). MSC: 35Q40 37J35 37K10 81T10 58J70 53C21 PDFBibTeX XMLCite \textit{I. A. B. Strachan}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 413, 65--75 (1993; Zbl 0793.35083)
Strachan, I. A. B. A new family of integrable models in \((2+1)\) dimensions associated with Hermitian symmetric spaces. (English) Zbl 0773.53019 J. Math. Phys. 33, No. 7, 2477-2482 (1992). MSC: 53C35 PDFBibTeX XMLCite \textit{I. A. B. Strachan}, J. Math. Phys. 33, No. 7, 2477--2482 (1992; Zbl 0773.53019) Full Text: DOI