5 papers
Characterization of quantum entanglement via a hypercube of Segre embeddings
Joana Cirici, Jordi Salvadó, Josep Taron
A particularly simple description of separability of quantum states arises naturally in the setting of complex algebraic geometry, via the Segre embedding. This is a map describing…
Almost Hermitian Identities
Joana Cirici, Scott O. Wilson
We study the local commutation relation between the Lefschetz operator and the exterior differential on an almost complex manifold with a compatible metric. The identity that we ob…
Topological and geometric aspects of almost Kähler manifolds via harmonic theory
Joana Cirici, Scott O. Wilson
The well-known Kähler identities naturally extend to the non-integrable setting. This paper deduces several geometric and topological consequences of these extended identities for…
Model category structures and spectral sequences
Joana Cirici, Daniela Egas Santander, Muriel Livernet +1
Let k be a commutative ring with unit. We endow the categories of filtered complexes and of bicomplexes of k-modules, with cofibrantly generated model structures, where the class o…
Mixed Hodge structures on the intersection homotopy type of complex varieties with isolated singularities
David Chataur, Joana Cirici
A homotopical treatment of intersection cohomology recently developed by Chataur-Saralegui-Tanré associates a "perverse algebraic model" to every topological pseudomanifold, extend…