Andriy Haydys
Haydys' research interests include in particular:
- gauge theory and its applications;
- Riemannian manifolds with special holonomy groups and related geometries;
- geometric analysis.
A. Haydys. Seiberg-Witten monopoles and flat PSL(2;R)-connections, Adv. Math. 409 (2022), arXiv:2001.07589. |
A. Haydys. The infinitesimal multiplicities and orientations of the blow-up set of the Seiberg–Witten equation with multiple spinors. Adv. Math. 343 (2019), 193–218; arXiv:1607.01763. |
A. Haydys, T.Walpuski. A compactness theorem for the Seiberg-Witten equation with multiple spinors in dimension three. Geom. Funct. Anal. (GAFA), 25(6):1799-1821, 2015; arXiv:1406.5683 |
A. Haydys. Gauge theory, calibrated geometry and harmonic spinors, J. Lond. Math. Soc. (2), 86(2):482-498, 2012. arXiv:0902.3738 |
A. Haydys, R. Mazzeo, R. Takahashi. An index theorem for Z/2-harmonic spinors branching along a graph, arXiv:2310.15295. |
A. Haydys, R. Mazzeo, R. Takahashi. New examples of Z/2 harmonic 1-forms and their deformations, arXiv:2307.06227. |
A. Haydys and B. Xu. Special Kähler structures, cubic differentials and hyperbolic metrics, arXiv:1807.08550 |
M. Callies and A. Haydys. Local models of isolated singularities for affine special Kähler structures in dimension two, IMRN, DOI:10.1093/imrn/rny165, arXiv:1711.09118 |
A. Haydys. Isolated singularities of affine special Kaehler metrics in two dimensions. Commun. Math. Phys., 340(3):1231-1237, 2015; arXiv:1505.00462 |