Holomorphic Curves in Low Dimensions

Holomorphic Curves in Low Dimensions
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低维全纯曲线

DOI:
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发表时间:
2018
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影响因子:
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通讯作者:
C. Wendl
C. Wendl
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作者:
C. Wendl

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打开书,209封闭全纯曲线的附加公式,50穿孔全纯曲线,189允许Lefschetz纤维化,212几乎复流形,17渐近圆柱端,223圆柱端,168伪凸边界,194几乎复结构,17适应接触形式,166渐近圆柱,223校准,另见几乎复结构,与辛形式相容,与辛形式相容,3,18被辛形式驯服,17算术亏格,36,62 Arnol′d猜想,152非球面辛流形,153渐近亏损,188渐近本征函数,185,190渐近标记,179渐近平凡化,174,188渐近缠绕数,184渐近圆柱几乎复结构,223渐近圆柱映射,174,189全纯曲线的自同构群,23坏Reeb轨道,182 Baire集,24 Lefschetz束的基点,63 Betti数,138双全纯,17,19开卷分解的绑定,209双有理等价,8,107吹落复形,54光滑或几乎复形,54,59辛,5,57,59吹落映射,53,54,59吹落复形,53光滑或几乎复形,54,59辛,5,56,59有界Lefschetz纤维化,212允许,212水平边界,212
open book, 209 adjunction formula for closed holomorphic curves, 50 for punctured holomorphic curves, 189 allowable Lefschetz fibration, 212 almost complex manifold, 17 with asymptotically cylindrical ends, 223 with cylindrical ends, 168 with pseudoconvex boundary, 194 almost complex structure, 17 adapted to a contact form, 166 asymptotically cylindrical, 223 callibrated, see also almost complex structure, compatible with a symplectic form compatible with a symplectic form, 3, 18 tamed by a symplectic form, 17 arithmetic genus, 36, 62 Arnol′d conjecture, 152 aspherical symplectic manifolds, 153 asymptotic defect, 188 asymptotic eigenfunctions, 185, 190 asymptotic marker, 179 asymptotic trivializations, 174, 188 asymptotic winding number, 184 asymptotically cylindrical almost complex structure, 223 asymptotically cylindrical map, 174, 189 automorphism group of a holomorphic curve, 23 bad Reeb orbit, 182 Baire set, 24 base point of a Lefschetz pencil, 63 Betti numbers, 138 biholomorphic, 17, 19 binding of an open book decomposition, 209 birational equivalence, 8, 107 blowdown complex, 54 smooth or almost complex, 54, 59 symplectic, 5, 57, 59 blowdown map, 53, 54, 59 blowup complex, 53 smooth or almost complex, 54, 59 symplectic, 5, 56, 59 bordered Lefschetz fibration, 212 allowable, 212 horizontal boundary of, 212
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