16 citations · 73 across the 20 of their papers we have counts for
28 papers
On the l-adic homotopy type of configuration spaces
Joana Cirici, Geoffroy Horel
We give algebraic models for the tame homotopy type of the configuration spaces of certain algebraic varieties of Tate type. Such tame models carry information on the l-adic homoto…
On the real homotopy type of compact complex surfaces
Joana Cirici
We show that on a compact complex surface all Massey products of cohomology classes in degree one vanish beyond length three. Dually, the real Malcev completion of the fundamental…
Model category structures on truncated multicomplexes for complex geometry
Joana Cirici, Muriel Livernet, Sarah Whitehouse
To a bicomplex one can associate two natural filtrations, the column and row filtrations, and then two associated spectral sequences. This can be generalized to -multicomplexes.…
Equivariant formality of the little disks operad
Pedro Boavida de Brito, Joana Cirici, Geoffroy Horel
The little -disks operad is and -equivariantly formal over the rationals. Equivalently, the oriented and unoriented framed little disks operads are rationally form…
An operadic proof of the BTT Theorem
Joana Cirici, Geoffroy Horel
In this note, we explain an operadic proof of the BTT Theorem stating that the deformation theory of Calabi-Yau varieties is unobstructed. We also provide a short new proof of the…
Homotopy BV-algebras in Hermitian geometry
Joana Cirici, Scott O. Wilson
We show that the de Rham complex of any almost Hermitian manifold carries a natural commutative -algebra structure satisfying the degeneration property. In the almost Kä…
Weight decompositions on algebraic models for mapping spaces and homotopy automorphisms
Joana Cirici, Bashar Saleh
We obtain restrictions on the rational homotopy types of mapping spaces and of classifying spaces of homotopy automorphisms by means of the theory of positive weight decompositions…
Formality of hypercommutative algebras of Kähler and Calabi-Yau manifolds
Joana Cirici, Geoffroy Horel
Any Batalin-Vilkovisky algebra with a homotopy trivialization of the BV-operator gives rise to a hypercommutative algebra structure at the cochain level which, in general, contains…
Hodge-de Rham numbers of almost complex 4-manifolds
Joana Cirici, Scott O. Wilson
We introduce and study Hodge-de Rham numbers for compact almost complex 4-manifolds, generalizing the Hodge numbers of a complex surface. The main properties of these numbers in th…
Filtered A-infinity structures in complex geometry
Joana Cirici, Anna Sopena
We prove a filtered version of the Homotopy Transfer Theorem which gives an A-infinity algebra structure on any page of the spectral sequence associated to a filtered dg-algebra. W…
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…
Sheaves of E-infinity algebras and applications to algebraic varieties and singular spaces
David Chataur, Joana Cirici
We describe the E-infinity algebra structure on the complex of singular cochains of a topological space, in the context of sheaf theory. As a first application, for any algebraic v…
Dolbeault cohomology for almost complex manifolds
Joana Cirici, Scott O. Wilson
This paper extends Dolbeault cohomology and its surrounding theory to arbitrary almost complex manifolds. We define a spectral sequence converging to ordinary cohomology, whose fir…
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…
Etale cohomology, purity and formality with torsion coefficients
Joana Cirici, Geoffroy Horel
We use Galois group actions on étale cohomology to prove results of formality for dg-operads and dg-algebras with torsion coefficients. Our theory applies, among other related cons…
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 and formality of symmetric monoidal functors
Joana Cirici, Geoffroy Horel
We use mixed Hodge theory to show that the functor of singular chains with rational coefficients is formal as a lax symmetric monoidal functor, when restricted to complex schemes w…
Sullivan minimal models of operad algebras
Joana Cirici, Agustí Roig
We prove the existence of Sullivan minimal models of operad algebras, for a quite wide family of operads in the category of complexes of vector spaces over a field of characteristi…
Weight decompositions of Thom spaces of vector bundles in rational homotopy theory
Urtzi Buijs, Federico Cantero Morán, Joana Cirici
Motivated by the theory of representability classes by submanifolds, we study the rational homotopy theory of Thom spaces of vector bundles. We first give a Thom isomorphism at the…
Derived A-infinity algebras and their homotopies
Joana Cirici, Daniela Egas Santander, Muriel Livernet +1
The notion of a derived A-infinity algebra, considered by Sagave, is a generalization of the classical notion of A-infinity algebra, relevant to the case where one works over a com…
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…
Rational homotopy of complex projective varieties with normal isolated singularities
David Chataur, Joana Cirici
Let X be a complex projective variety of dimension n with only isolated normal singularities. In this paper we prove, using mixed Hodge theory, that if the link of each singular po…
Weight filtration on the cohomology of complex analytic spaces
Joana Cirici, Francisco Guillén
We extend Deligne's weight filtration to the integer cohomology of complex analytic spaces (endowed with an equivalence class of compactifications). In general, the weight filtrati…