Results 21 to 30 of about 3,199 (91)
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
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
doaj +1 more source
A New Cohomology Theory for Orbifold
, 2001 Motivated by orbifold string theory, we introduce orbifold cohomology group for any almost complex orbifold and orbifold Dolbeault cohomology for any complex orbifold.
Baily +12 more
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Cohomologies of generalized complex manifolds and nilmanifolds
, 2015 We study generalized complex cohomologies of generalized complex structures constructed from certain symplectic fibre bundles over complex manifolds. We apply our results in the case of left-invariant generalized complex structures on nilmanifolds and to
Angella, Daniele +2 more
core +1 more source
Examples of foliations with infinite dimensional special cohomology [PDF]
, 2017 We present examples of foliations with infinite dimensional basic symplectic and com- plex cohomologies, along with a general sufficient condition for such phenomena. This puts re- strictions on possible generalizations of several finiteness results from
Czarnecki, Andrzej, Raźny, Paweł
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Weighted Bott-Chern and Dolbeault cohomology for LCK-manifolds with potential
, 2017 A locally conformally Kahler (LCK) manifold is a complex manifold with a Kahler structure on its covering and the deck transform group acting on it by holomorphic homotheties. One could think of an LCK manifold as of a complex manifold with a Kahler form
Ornea, Liviu +2 more
core +1 more source
Lie-algebra Dolbeault cohomology and small deformations of nilmanifolds
, 2008 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.
Rollenske, Sönke
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The Dolbeault-cohomology ring of a compact, even-dimensional lie group
Proceedings Mathematical Sciences, 1988 A left invariant, integrable, complex structure (LICS) on a compact, connected, even-dimensional (real) Lie group G is an R-linear mapping J of the Lie algebra \({\mathfrak G}\) of left invariant vector fields on G into itself such that (1) \(J^ 2=-Id_{{\mathfrak G}};\) (2) \([JX,JY]=[X,Y]+J([JX,Y]+[X,JY])\) for all X,Y\(\in {\mathfrak G}\).
openaire +2 more sources
Theta divisors and permutohedra
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
wiley +1 more source
Type IIB Flux Vacua and Tadpole Cancellation
Fortschritte der Physik, Volume 67, Issue 11, November 2019., 2019 Abstract We consider flux vacua for type IIB orientifold compactifications and study their interplay with the tadpole‐cancellation condition. As a concrete example we focus on , for which we find that solutions to the F‐term equations at weak coupling, large complex structure and large volume require large flux contributions.
Philip Betzler, Erik Plauschinn
wiley +1 more source