4 papers
Deformation theory of complex structures via Hamilton-Nash-Moser theory
Vicente Cortés, Paula Naomi Pilatus
We revisit the classical proof by Kuranishi on the existence of a locally complete family of complex deformations on a compact complex manifold using Hamilton's Nash-Moser implicit…
Geometry of effective field theory positivity cones
Quentin Bonnefoy, Vicente Cortés, Emanuele Gendy +3
Positivity bounds are theoretical constraints on the Wilson coefficients of an effective field theory. These bounds emerge from the requirement that a given effective field theory…
Born Lie algebras
Alejandro Gil-GarcÃa, Paula Naomi Pilatus
We show that every Born Lie algebra can be obtained by the bicross product construction starting from two pseudo-Riemannian Lie algebras. We then obtain a classification of all Lie…
Born geometry via Künneth structures and recursion operators
M. J. D. Hamilton, D. Kotschick, P. N. Pilatus
We propose a simple definition of a Born geometry in the framework of Künneth geometry. While superficially different, this new definition is equivalent to the known definitions i…