Quantum cohomology and its application.
Ruan, Yongbin (1998)
Documenta Mathematica
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Ruan, Yongbin (1998)
Documenta Mathematica
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Bailey, Toby N., Eastwood, Michael G., Gindikin, Simon G.
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Summary: There are two classical languages for analytic cohomology: Dolbeault and Čech. In some applications, however (for example, in describing the Penrose transform and certain representations), it is convenient to use some nontraditional languages. In [, and , J. Geom. Phys. 17, 231-244 (1995; Zbl 0861.22009)] was developed a language that allows one to render analytic cohomology in a purely holomorphic fashion.In this article we indicate a more general construction, which includes...
Takeo Ohsawa (1992)
Mathematische Zeitschrift
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Yum-Tong SIU (1971)
Mathematische Annalen
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Roy Joshua (1987)
Mathematische Zeitschrift
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Guido Mislin (1971)
Mathematische Zeitschrift
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Martin C. Tangora (1970)
Mathematische Zeitschrift
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Jon F. Carlson (1995)
Mathematische Zeitschrift
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Viorel Vâjâitu (1996)
Mathematica Scandinavica
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Tim Sauer (1984/85)
Mathematische Zeitschrift
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Zhuo Chen, Daniele Grandini, Yat-Sun Poon (2015)
Complex Manifolds
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Holomorphic Poisson structures arise naturally in the realm of generalized geometry. A holomorphic Poisson structure induces a deformation of the complex structure in a generalized sense, whose cohomology is obtained by twisting the Dolbeault @-operator by the holomorphic Poisson bivector field. Therefore, the cohomology space naturally appears as the limit of a spectral sequence of a double complex. The first sheet of this spectral sequence is simply the Dolbeault cohomology with coefficients...