Fernández, Marisa; Fino, Anna; Kovalev, Alexei; Muñoz, Vicente A compact \(\mathrm G_2\)-calibrated manifold with first Betti number \(b_1 = 1\). (English) Zbl 1472.53061 Adv. Math. 381, Article ID 107623, 38 p. (2021). Reviewer: Gabriela Paola Ovando (Rosario) MSC: 53C38 53C15 17B30 22E25 PDFBibTeX XMLCite \textit{M. Fernández} et al., Adv. Math. 381, Article ID 107623, 38 p. (2021; Zbl 1472.53061) Full Text: DOI arXiv
Kovalev, Alexei Deformations of calibrated submanifolds with boundary. (English) Zbl 1447.53054 Karigiannis, Spiro (ed.) et al., Lectures and surveys on \(G_2\)-manifolds and related topics. Minischool and workshop on \(G_2\)-manifolds, Fields Institute, Toronto, Canada, August 19–25, 2017. New York, NY: Springer. Fields Inst. Commun. 84, 365-382 (2020). MSC: 53C42 53C10 53C38 58D17 PDFBibTeX XMLCite \textit{A. Kovalev}, Fields Inst. Commun. 84, 365--382 (2020; Zbl 1447.53054) Full Text: DOI arXiv
Kovalev, Alexei; Nordström, Johannes Asymptotically cylindrical 7-manifolds of holonomy \(G_{2}\) with applications to compact irreducible \(G _{2}\)-manifolds. (English) Zbl 1209.53037 Ann. Global Anal. Geom. 38, No. 3, 221-257 (2010). Reviewer: Witold Mozgawa (Lublin) MSC: 53C29 53C10 PDFBibTeX XMLCite \textit{A. Kovalev} and \textit{J. Nordström}, Ann. Global Anal. Geom. 38, No. 3, 221--257 (2010; Zbl 1209.53037) Full Text: DOI arXiv
Kovalev, Alexei; Lotay, Jason D. Deformations of compact coassociative 4-folds with boundary. (English) Zbl 1157.53028 J. Geom. Phys. 59, No. 1, 63-73 (2009). MSC: 53C38 53C15 53C21 58J32 PDFBibTeX XMLCite \textit{A. Kovalev} and \textit{J. D. Lotay}, J. Geom. Phys. 59, No. 1, 63--73 (2009; Zbl 1157.53028) Full Text: DOI arXiv
Kovalev, Alexei Twisted connected sums and special Riemannian holonomy. (English) Zbl 1043.53041 J. Reine Angew. Math. 565, 125-160 (2003). Reviewer: Jürgen Berndt (Cork) MSC: 53C29 53C21 PDFBibTeX XMLCite \textit{A. Kovalev}, J. Reine Angew. Math. 565, 125--160 (2003; Zbl 1043.53041) Full Text: DOI arXiv