17 citations · 39 across the 8 of their papers we have counts for
8 papers
McLean's second variation formula revisited
Hông Vân Lê, Jirí Vanzura
We revisit McLean's second variation formulas for calibrated submanifolds in exceptional geometries, and correct his formulas concerning associative submanifolds and Cayley submani…
Poisson smooth structures on stratified symplectic spaces
Hong Van Le, Petr Somberg, Jiri Vanzura
In this paper we introduce the notion of a smooth structure on a stratified space, the notion of a Poisson smooth structure and the notion of a weakly symplectic smooth structure o…
Smooth structures on pseudomanifolds with isolated conical singularities
Hong Van Le, Petr Somberg, Jiri Vanzura
In this note we introduce the notion of a smooth structure on a conical pseudomanifold in terms of -rings of smooth functions on . For a finitely generated smooth…
Quaternionic structures
Martin Cadek, Michael Crabb, Jiri Vanzura
Any oriented 4-dimensional real vector bundle is naturally a line bundle over a bundle of quaternion algebras. In this paper we give an account of modules over bundles of quaternio…
Obstruction theory on 8-manifolds
Martin Cadek, Michael Crabb, Jiri Vanzura
This note gives a uniform, self-contained, and fairly direct approach to a variety of obstruction-theoretic problems on 8-manifolds. We give necessary and sufficient cohomological…
Manifolds admitting stable forms
Hong-Van Le, Martin Panak, Jiri Vanzura
In this note we give a direct method to classify all stable forms on as well as to determine their automorphism groups. We show that in dimension 6,7,8 stable forms coincide…