Results 41 to 50 of about 130 (112)
Computations of generalized Dolbeault cohomology
AIP Conference Proceedings, 2009 We study the (generalized Dolbeault) cohomology of generalized complex manifolds in 4 real dimensions. We show that in 4 real dimensions, the first cohomology around a nondegenerate type change point is given by holomorphic (1,0) forms defined on the type change locus.
Gil R. Cavalcanti +4 more
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Canonical complex extensions of Kähler manifolds
Journal of the London Mathematical Society, Volume 101, Issue 2, Page 786-827, April 2020., 2020 Abstract Given a complex manifold X, any Kähler class defines an affine bundle over X, and any Kähler form in the given class defines a totally real embedding of X into this affine bundle. We formulate conditions under which the affine bundles arising this way are Stein and relate this question to other natural positivity conditions on the tangent ...
Daniel Greb, Michael Lennox Wong
wiley +1 more source
Moduli identification methods in Type II compactifications
Journal of High Energy Physics, 2018 Recent work on four dimensional effective descriptions of the heterotic string has identified the moduli of such systems as being given by kernels of maps between ordinary Dolbeault cohomology groups.
James Gray, Hadi Parsian
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Dolbeault cohomology of a loop space
Acta Mathematica, 2004 26 ...
Lempert, László, Zhang, Ning
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Quiver indices and Abelianization from Jeffrey-Kirwan residues
Journal of High Energy Physics, 2019 In quiver quantum mechanics with 4 supercharges, supersymmetric ground states are known to be in one-to-one correspondence with Dolbeault cohomology classes on the moduli space of stable quiver representations.
Guillaume Beaujard +2 more
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Dolbeault Cohomology of Graphs and Berkovich Curves
, 2021 We introduce real-valued $(p,q)$-forms on weighted metric graphs with boundary similar to Lagerberg forms on polyhedral spaces. We compute the Dolbeault cohomology and prove Poincaré duality. Using Thuillier's thesis, the skeleton of a strictly semistable formal curve is canonically a weighted metric graph with boundary.
Gubler, Walter +2 more
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Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds
Complex Manifolds, 2017 Let N be a simply connected real nilpotent Lie group, n its Lie algebra, and € a lattice in N. If a left-invariant complex structure on N is Γ-rational, then HƏ̄s,t(Γ/N) ≃ HƏ̄s,t(nC) for each s; t.
Yamada Takumi
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Complex structures on the complexification of a real Lie algebra
Complex Manifolds, 2018 Let g = a+b be a Lie algebra with a direct sum decomposition such that a and b are Lie subalgebras. Then, we can construct an integrable complex structure J̃ on h = ℝ(gℂ) from the decomposition, where ℝ(gℂ) is a real Lie algebra obtained from gℂby the ...
Yamada Takumi
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On Cohomology Groups of Certain Subcomplexes of Dolbeault Complexes [PDF]
Proceedings of the American Mathematical Society, 1973 The paper first shows that for a path connected topological group acting analytically on a complex manifold M M , the ...
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Hodge theory for twisted differentials
Complex Manifolds, 2014 We study cohomologies and Hodge theory for complex manifolds with twisted differentials. In particular, we get another cohomological obstruction for manifolds in class C of Fujiki. We give a Hodgetheoretical proof of the characterization of solvmanifolds
Angella Daniele, Kasuya Hisashi
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