Results 51 to 60 of about 130 (112)
Frobenius manifold structure on Dolbeault cohomology and mirror symmetry [PDF]
Communications in Analysis and Geometry, 2000 We construct a differential Gerstenhaber-Batalin-Vilkovisky algebra from Dolbeault complex of any close Kaehler manifold, and a Frobenius manifold structure on Dolbeault cohomology.
Cao, Huai-Dong, Zhou, Jian
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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
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Dolbeault cohomologies of blowing up complex manifolds [PDF]
Journal de Mathématiques Pures et Appliquées, 2019 We prove a blow-up formula for Dolbeault cohomologies of compact complex manifolds by introducing relative Dolbeault cohomology. As corollaries, we present a uniform proof for bimeromorphic invariance of $(\bullet,0)$- and $(0,\bullet)$-Hodge numbers on a compact complex manifold, and obtain the equality for the numbers of the blow-ups and blow-downs ...
Rao, Sheng, Yang, Song, Yang, Xiangdong
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Model category structures on truncated multicomplexes for complex geometry
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4163-4177, December 2025.Abstract 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 N$N$‐multicomplexes. We present a family of model category structures on the category of N$N$‐multicomplexes where the weak equivalences are the morphisms inducing a quasi‐isomorphism ...
Joana Cirici +2 more
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Complex-Foliated Structures. I. Cohomology of the Dolbeault-Kostant Complexes [PDF]
Transactions of the American Mathematical Society, 1979 We study the cohomology of differential complexes, which we shall call Dolbeault-Kostant complexes, defined by certain integrable sub-bundles F of the complex tangent bundle of a manifold M .
Fischer, Hans R., Williams, Floyd L.
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Topological K‐theory of quasi‐BPS categories for Higgs bundles
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
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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
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Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
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Moduli Space in Homological Mirror Symmetry
Advances in Mathematical Physics, Volume 2019, Issue 1, 2019., 2019 We prove that the moduli space of the pseudo holomorphic curves in the A‐model on a symplectic torus is homeomorphic to a moduli space of Feynman diagrams in the configuration space of the morphisms in the B‐model on the corresponding elliptic curve. These moduli spaces determine the A∞ structure of the both models.
Matsuo Sato, Dimitrios Tsimpis
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On the infinite dimensionality of the Dolbeault cohomology groups [PDF]
Proceedings of the American Mathematical Society, 1975 Let M M be an open subset of a Stein manifold without isolated points. Let
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