Research papers

Sometimes more up to date than the arXiv versions.

• E. Schlitzer and J. Stoppa, Examples of dHYM connections in a variable background , arXiv:2011.02896 [math.DG].

• C. Scarpa and J. Stoppa, The HcscK equations in symplectic coordinates , arXiv:2006.06250 [math.DG].

• E. Schlitzer and J. Stoppa, Deformed Hermitian Yang-Mills connections, extended gauge group and scalar curvature , J. London Math. Soc. (2021) https://doi.org/10.1112/jlms.12447.

• C. Scarpa and J. Stoppa, Solutions to Donaldson's hyperkaehler reduction on a curve , J. Geom. Anal. 31, 2871-2889 (2021). https://doi.org/10.1007/s12220-020-00377-3.

• A. Barbieri, T. Bridgeland and J. Stoppa, A quantized Riemann-Hilbert problem in Donaldson-Thomas theory , International Mathematics Research Notices, 2020;, rnaa294, https://doi.org/10.1093/imrn/rnaa294.

• J. Stoppa, A note on BPS structures and Gopakumar-Vafa invariants , Communications in Number Theory and Physics, Vol. 13, No. 3, 627-645 (2019).

• C. Scarpa and J. Stoppa, Scalar curvature and an infinite dimensional hyperkaehler reduction , Asian J. Math., Vol. 24, No. 4, 671-724 (2020).

• J. Stoppa, Stable pairs, flat connections and Gopakumar-Vafa invariants , Boll. Unione Mat. Ital. 14, 117-136 (2021), https://doi.org/10.1007/s40574-020-00243-8. Special Issue: (Proceedings of the XXI) Congress of the Italian Mathematical Union, Selected contributions.

• J. Scalise and J. Stoppa, Variations of BPS structure and a large rank limit , Journal of the Institute of Mathematics of Jussieu, 20(1), 103-135 (2021). doi:10.1017/S1474748019000136

• A. Barbieri, J. Stoppa and T. Sutherland, A construction of Frobenius manifolds from stability conditions . Proc. London Math. Soc. 118, no. 6, 1328-1366 (2019).

• G. Codogni and J. Stoppa, Torus equivariant K-stability, in "Moduli of K-stable varieties", Springer INdAM Series vol. 31 (2019), Springer International Publishing, ISBN 978-3-030-13157-9.

• A. Barbieri and J. Stoppa, Frobenius type and CV-structures for Donaldson-Thomas theory and a convergence property, Comm. Anal. Geom., Vol. 27, No. 2, 287-327 (2019), arXiv:1512.01176 [math.AG].

• S. A. Filippini, M. Garcia-Fernandez and J. Stoppa, Stability data, irregular connections and tropical curves, Sel. Math. New Ser. (2017) 23: 1355. https://doi.org/10.1007/s00029-016-0299-x.

• J. Stoppa, A note on Frobenius type and CV-structures in Donaldson-Thomas theory, written for ``Current Developments of Mirror Symmetry", Proceedings of the TSIMF 2014 Conference (ed. S. T. Yau et al.).

• S. A. Filippini and J. Stoppa, TBA type equations and tropical curves, International Journal of Mathematics 27 , no. 7, 1640005 (2016).

• S. A. Filippini and J. Stoppa, Block-Goettsche invariants from wall-crossing, Compositio Mathematica 151 , no. 8, 1543-1567 (2015).

• J. Stoppa, Joyce-Song wall-crossing as an asymptotic expansion, Kyoto Journal of Mathematics 54 , no. 1, 103-156 (2014).

• M. Reineke, J. Stoppa, and T. Weist, MPS formula for quiver moduli and refined GW/Kronecker correspondence, Geometry & Topology 16, no. 4, 2097-2134 (2012).

• J. Stoppa, D0-D6 states counting and GW invariants, Letters in Mathematical Physics 102, no. 2, 149-180 (2012).

• J. Stoppa, A note on the definition of K-stability, 1111.5826v1 (2011). 2 pages. A small erratum to Adv. Math. 221, no. 4, 1397-1408 (2009), this will only appear on arXiv.

• J. Stoppa, Universal covers and the GW/Kronecker correspondence, Communications in Number Theory and Physics 5, no. 2, 1-43 (2011).

• J. Stoppa and G. Szekelyhidi, Relative K-stability of extremal metrics, Journal of the European Mathematical Society 13, no. 4, 899-909 (2011).

• J. Stoppa and R. P. Thomas, Hilbert schemes and stable pairs: GIT and derived category wall crossings, Bulletin de la Societe Mathematique de France 139, no. 3, 297-339 (2011).

• J. Stoppa and E. Tenni, A simple limit for slope instability, International Mathematics Research Notices 2010:1816-1830 (2010).

• J. Stoppa, Unstable blowups, Journal of Algebraic Geometry 19, 1-17 (2010).

• J. Stoppa, Twisted constant scalar curvature Kaehler metrics and Kaehler slope stability, Journal of Differential Geometry 83, no. 3, 663-691 (2009).

• J. Stoppa, K-stability of constant scalar curvature Kaehler manifolds, Advances in Mathematics 221, no. 4, 1397-1408 (2009).