Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Valencia, Fabricio"'
We define the concept of a flat pseudo-Riemannian $F$-Lie algebra and construct its corresponding double extension. This algebraic structure can be interpreted as the infinitesimal analogue of a Frobenius Lie group devoid of Euler vector fields. We s
Externí odkaz:
http://arxiv.org/abs/2405.02130
We solve the problem of determining under which conditions the monodromy of a vanishing cycle generates the whole homology of a regular fiber for a polynomial $f(x,y)=g(x)+h(y)$ where $h$ and $g$ are polynomials with real coefficients having real cri
Externí odkaz:
http://arxiv.org/abs/2311.05563
Autor:
Valencia, Fabricio
We show a natural extension of the Novikov numbers associated to the basic cohomology class of a closed $1$-form on an orbifold, thus proving corresponding Novikov inequalities for the compact case.
Comment: 22 pages. Comments are very welcome!
Comment: 22 pages. Comments are very welcome!
Externí odkaz:
http://arxiv.org/abs/2306.05990
We study isometric actions of Lie $2$-groups on Riemannian groupoids by exhibiting some of their immediate properties and implications. Firstly, we prove an existence result which allows both to obtain 2-equivariant versions of the Slice Theorem and
Externí odkaz:
http://arxiv.org/abs/2209.08643
Autor:
Ortiz, Cristian, Valencia, Fabricio
In this paper we introduce Morse Lie groupoid morphisms and study their main properties. We show that this notion is Morita invariant which gives rise to a well defined notion of Morse function on differentiable stacks. We show a groupoid version of
Externí odkaz:
http://arxiv.org/abs/2207.07594
Autor:
Valencia, Fabricio, Varea, Carlos
We characterize those real flag manifolds that can be endowed with invariant generalized almost complex structures. We show that no $GM_2$-maximal real flag manifolds admit integrable invariant generalized almost complex structures. We give a concret
Externí odkaz:
http://arxiv.org/abs/2111.08412
Autor:
Valencia, Fabricio
We construct left invariant special K\"ahler structures on the cotangent bundle of a flat pseudo-Riemannian Lie group. We introduce the twisted cartesian product of two special K\"ahler Lie algebras according to two linear representations by infinite
Externí odkaz:
http://arxiv.org/abs/2005.09771
We describe moduli spaces of invariant generalized complex structures and moduli spaces of invariant generalized K\"ahler structures on maximal flag manifolds under $B$-transformations. We give an alternative description of the moduli space of genera
Externí odkaz:
http://arxiv.org/abs/1912.08853
Autor:
Valencia, Fabricio
In these notes we survey basic concepts of affine geometry and their interaction with Riemannian geometry. We give a characterization of affine manifolds which has as counterpart those pseudo-Riemannian manifolds whose Levi-Civita connection is flat.
Externí odkaz:
http://arxiv.org/abs/1903.08940
We describe isotropic orbits for the restricted action of a subgroup of a Lie group acting on a symplectic manifold by Hamiltonian symplectomorphisms and admitting an Ad*-equivariant moment map. We obtain examples of Lagrangian orbits of complex flag
Externí odkaz:
http://arxiv.org/abs/1903.03717