Real mixed Hodge structures

被引：4

作者：

Kapranov, Mikhail ^{[1
]}

机构：

[1] Yale Univ, Dept Math, New Haven, CT 06520 USA

来源：

JOURNAL OF NONCOMMUTATIVE GEOMETRY | 2012年 / 6卷 / 02期

关键词：

Hodge structure; equivariant connection; twistor transform;

D O I：

10.4171/JNCG/93

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We identify the category of real mixed Hodge structures with the category of vector bundles with connections (not necessarily flat) on C, equivariant with respect to C*. Here C is the complex plane considered as a 2-dimensional real manifold, and C* is the multiplicative group of complex numbers considered as a real group.

引用

页码：321 / 342

页数：22

共 50 条

[1] Morgan's mixed Hodge structures and nonabelian Hodge structures
Kasuya, Hisashi
[J]. COMMUNICATIONS IN ALGEBRA, 2021, 49 (06) : 2655 - 2678
[2] Real Seifert Forms and Polarizing Forms of Steenbrink Mixed Hodge Structures
Sven Balnojan
Claus Hertling
[J]. Bulletin of the Brazilian Mathematical Society, New Series, 2019, 50 : 233 - 274
[3] MIXED HODGE-STRUCTURES
ELZEIN, F
[J]. PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1983, 40 : 345 - 352
[4] Real Seifert Forms and Polarizing Forms of Steenbrink Mixed Hodge Structures
Balnojan, Sven
Hertling, Claus
[J]. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2019, 50 (01): : 233 - 274
[5] RESULT ON MIXED HODGE STRUCTURES
CARLSON, JA
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (05): : A476 - A476
[6] MIXED HODGE-STRUCTURES
ELZEIN, F
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 275 (01) : 71 - 106
[7] MIXED HODGE-STRUCTURES
ELZEIN, F
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1981, 292 (07): : 409 - 412
[8] MIXED HODGE STRUCTURES WITH MODULUS
Ivorra, Florian
Yamazaki, Takao
[J]. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2022, 21 (01) : 161 - 195
[9] DEGENERATION OF MIXED HODGE-STRUCTURES
ZUCKER, S
[J]. PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1987, 46 : 283 - 293
[10] Geometric transitions and mixed Hodge structures
Diaconescu, Duiliu-Emanuel
Donagi, Ron
Pantev, Tony
[J]. ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2007, 11 (01) : 65 - 89

← 1 2 3 4 5 →