Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Wilson Scott O."'
Publikováno v:
Complex Manifolds, Vol 8, Iss 1, Pp 329-335 (2021)
We give several explicit examples of compact manifolds with a 1-parameter family of almost complex structures having arbitrarily small Nijenhuis tensor in the C0-norm. The 4-dimensional examples possess no complex structure, whereas the 6-dimensional
Externí odkaz:
https://doaj.org/article/13e3fcb13ad345f7988f5c8d9d8aa2e6
Autor:
Cirici, Joana, Wilson, Scott O.
We show that the de Rham complex of any almost Hermitian manifold carries a natural commutative $BV_\infty$-algebra structure satisfying the degeneration property. In the almost K\"ahler case, this recovers Koszul's BV-algebra, defined for any Poisso
Externí odkaz:
http://arxiv.org/abs/2403.12314
Autor:
Lejmi, Mehdi, Wilson, Scott O.
This short note provides a symplectic analogue of Vaisman's theorem in complex geometry. Namely, for any compact symplectic manifold satisfying the hard Lefschetz condition in degree 1, every locally conformally symplectic structure is in fact global
Externí odkaz:
http://arxiv.org/abs/2403.12304
Autor:
Stelzig, Jonas, Wilson, Scott O.
This paper introduces a generalization of the ddc-condition for complex manifolds. Like the dd^c-condition, it admits a diverse collection of characterizations, and is hereditary under various geometric constructions. Most notably, it is an open prop
Externí odkaz:
http://arxiv.org/abs/2208.01074
Autor:
Cirici, Joana, Wilson, Scott O.
Publikováno v:
Expositiones Mathematicae, Volume 40, Issue 4, Pages 1244-1260, 2022
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 the case of complex surfaces are extended to this more general setting,
Externí odkaz:
http://arxiv.org/abs/2201.08260
We give several explicit examples of compact manifolds with a $1$-parameter family of almost complex structures having arbitrarily small Nijenhuis tensor in the $C^0$-norm. The $4$-dimensional examples possess no complex structure, whereas the $6$-di
Externí odkaz:
http://arxiv.org/abs/2103.06090
Autor:
Cirici, Joana, Wilson, Scott O.
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 obtain generalizes the backbone of the local K\"ahler identities to the
Externí odkaz:
http://arxiv.org/abs/2008.04390
Autor:
Wilson, Scott O.
Complex manifolds with compatible metric have a naturally defined subspace of harmonic differential forms that satisfy Serre, Hodge, and conjugation duality, as well as hard Lefschetz duality. This last property follows from a representation of $sl(2
Externí odkaz:
http://arxiv.org/abs/1906.02952
Autor:
Cirici, Joana, Wilson, Scott O.
This paper extends Dolbeault cohomology and its surrounding theory to arbitrary almost complex manifolds. We define a spectral sequence converging to ordinary cohomology, whose first page is the Dolbeault cohomology, and develop a harmonic theory whi
Externí odkaz:
http://arxiv.org/abs/1809.01416
Autor:
Cirici, Joana, Wilson, Scott O.
The well-known K\"ahler identities naturally extend to the non-integrable setting. This paper deduces several geometric and topological consequences of these extended identities for compact almost K\"ahler manifolds. Among these are identities of var
Externí odkaz:
http://arxiv.org/abs/1809.01414