some papers and preprints

On nearly parallel G2-manifolds: formality and associative submanifolds. M. Fernández, A. Fino, A.G. Kovalev and V. Muñoz.  arXiv:2208.13046, 35 pages, to appear in Math. Res. Lett.

A compact G2-calibrated manifold with first Betti number b1=1. M. Fernández, A. Fino, A.G. Kovalev and V. Muñoz.  Adv. Math. 381 (2021).  doi:10.1016/j.aim.2021.107623

Deformations of calibrated submanifolds with boundary. A.G. Kovalev. In `Lectures and Surveys on G2-Manifolds and Related Topics', pages 365–382, Springer, 2020.

Constructions of compact G2-holonomy manifolds. A.G. Kovalev. In `Lectures and Surveys on G2-Manifolds and Related Topics', pages 51–67, Springer, 2020.

Asymptotically cylindrical manifolds with holonomy Spin(7). I. A.G. Kovalev.  arXiv:1309.5027, version 2, 28 pages, December 2014.

K3 surfaces with non-symplectic involution and compact irreducible G2-manifolds. A.G. Kovalev and Nam-Hoon Lee. Math. Proc. Cambridge Philos. Soc. 151 (2011) 193–218.   doi:10.1017/S030500411100003X

Asymptotically cylindrical 7-manifolds of holonomy G2 with applications to compact irreducible G2-manifolds. A.G. Kovalev and J. Nordström.   Ann. Global Anal. Geom. 38 (2010), 221–257. doi:10.1007/s10455-010-9210-8   Reprints available.

Deformations of compact coassociative 4-folds with boundary. A.G. Kovalev and J.D. Lotay. J. Geom. Phys. 59 (2009), 63-73.     doi:10.1016/j.geomphys.2008.09.002.

Ricci-flat deformations of asymptotically cylindrical Calabi-Yau manifolds. A.G. Kovalev, pp. 140–156 in Proceedings of Gökova Geometry/Topology Conference 2005, International Press, 2006.

Coassociative K3 fibrations of compact G2-manifolds. A.G. Kovalev.  math.DG/0511150, version 2, 33 pages, October 2009.

From Fano threefolds to compact G2-manifolds. A.G. Kovalev. In `Strings and Geometry', vol.3 of Clay Mathematics Proceedings, pages 193–202. Amer. Math. Soc., Providence, RI, 2004. Reprints available

Twisted connected sums and special Riemannian holonomy. A.G. Kovalev. J. Reine Angew. Math. 565 (2003), 125–160.    doi: 10.1515/crll.2003.097, 02/12/2003    (abstract) Reprints available
Featured review (MR2024648) by Andrew Swann.

Gluing theorems for complete anti-self-dual spaces. A.G. Kovalev and M.A. Singer. Geom. Funct. Anal. 11 (2001), 1229–1281. (abstract) Reprints available

Gluing theorems for anti-self-dual metrics. A.G. Kovalev and M.A. Singer. math.DG/9802055, 12 pages.

On the reduction of Yang–Mills instantons to Nahm's equations. A.G. Kovalev. Russian Math. Surveys, 52 (1997), 1305–1306.    doi:10.1070/RM1997v052n06ABEH002170

Nahm's equations and complex adjoint orbits. A.G. Kovalev. Quarterly J. Math. Oxford Ser. (2), 47 (1996), 41–58. (abstract)   doi:10.1093/qmath/47.1.41   Reprints available


a.g.kovalev at dpmms.cam.ac.uk