Monodromy map for tropical Dolbeault cohomology
Algebraic Geometry, 2019 We define monodromy maps for tropical Dolbeault cohomology of algebraic varieties over non-Archimedean fields. We propose a conjecture of Hodge isomorphisms via monodromy maps, and provide some evidence.
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Lie-algebra Dolbeault-cohomology and small deformations of nilmanifolds [PDF]
Journal of the London Mathematical Society, 2009 We consider nilmanifolds with left-invariant complex structure and prove that small deformations of such structures are again left invariant if the Dolbeault-cohomology of the nilmanifold can be calculated using left-invariant forms. By a result of Console and Fino this is generically the case. Our main tool is an analog of Dolbeault-cohomology for Lie-
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Dolbeault cohomology of the Chinese coin
, 2016 In C2, we study the Dolbeault cohomology of the annulus between the bidisc and a large ball. As an application, we get W 1 estimates for the Cauchy-Riemann equation in the bidisc.Non UBCUnreviewedAuthor affiliation: Central Michigan ...
Chakrabarti, Debraj
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Laplace hyperfunctions via \v{C}ech-Dolbeault cohomology [PDF]
, 2023 The paper studies several properties of Laplace hyperfunctions introduced by H.~Komatsu in the one dimensional case and by the authors in the higher dimensional cases from the viewpoint of \v{C}ech-Dolbeault cohomology theory, which enables us, for ...
Umeta, Kohei, Honda, Naofumi
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Quantum cohomology of the odd symplectic Grassmannian of lines [PDF]
, 2013 Odd symplectic Grassmannians are a generalization of symplectic Grassmannians to odd-dimensional spaces. Here we compute the classical and quantum cohomology of the odd symplectic Grassmannian of lines.
Pech, Clelia
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Almost complex structures, transverse complex structures, and transverse Dolbeault cohomology
International audienceWe define a transverse Dolbeault cohomology associated to any almost complex structure j on a smooth manifold M . This we do by extending the notion of transverse complex structure and by introducing a natural j-stable involutive ...
Gutt, Jean, Cahen, Michel, Gutt, Simone
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Stable rational cohomology of automorphism groups of free groups and the integral cohomology of moduli spaces of graphs [PDF]
, 2002 It is not known whether or not the stable rational cohomology groups H*(Aut(F[infinity]);Q) always vanish (see Hatcher in [5] and Hatcher and Vogtmann in [7] where they pose the question and show that it does vanish in the first 6 dimensions).
Jensen, Craig A., C. A. Jensen
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Dolbeault Type Cohomology Groups of Infinitesimal Deformations and Their Applications
, 2023 In this paper, we establish a kind of Dolbeault type cohomology groups for the purpose of studying the varying of complex structure invariants in infinitesimal deformations of any order.
Lin, Jiezhu, Ye, Xuanming
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Cyclic cohomology after the excision theorem of Cuntz and Quillen [PDF]
, 2013 The excision theorem of Cuntz and Quillen established the existence of a six term exact sequence in the bivariant periodic cyclic cohomology HP*(–,–) associated with an arbitrary algebra extension 0 ? S ? P ? Q ? 0.
Jacek Brodzki, Brodzki, Jacek
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Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds. [PDF]
J Geom Anal, 2022 Hsiao CY, Marinescu G, Wang H.
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