INTRODUCTION TO SUPERGEOMETRY

被引:60
作者
Cattaneo, Alberto S. [1 ]
Schaetz, Florian [2 ]
机构
[1] Univ Zurich, Inst Math, CH-8006 Zurich, Switzerland
[2] IST Lisbon, Ctr Math Anal Geometry & Dynam Syst, Lisbon, Portugal
关键词
Supermanifolds and graded manifolds; graded symplectic geometry; AKSZ formalism; GEOMETRY; FORMALISM;
D O I
10.1142/S0129055X11004400
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
These notes are based on a series of lectures given by the first author at the school of "Poisson 2010", held at IMPA, Rio de Janeiro. They contain an exposition of the theory of super- and graded manifolds, cohomological vector fields, graded symplectic structures, reduction and the AKSZ-formalism.
引用
收藏
页码:669 / 690
页数:22
相关论文
共 24 条
[1]   The geometry of the master equation and topological quantum field theory [J].
Alexandrov, M ;
Schwarz, A ;
Zaboronsky, O ;
Kontsevich, M .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1997, 12 (07) :1405-1429
[2]   RELATIVISTIC S-MATRIX OF DYNAMICAL-SYSTEMS WITH BOSON AND FERMION CONSTRAINTS [J].
BATALIN, IA ;
VILKOVISKY, GA .
PHYSICS LETTERS B, 1977, 69 (03) :309-312
[3]   A GENERALIZED CANONICAL FORMALISM AND QUANTIZATION OF REDUCIBLE GAUGE-THEORIES [J].
BATALIN, IA ;
FRADKIN, ES .
PHYSICS LETTERS B, 1983, 122 (02) :157-164
[4]   GAUGE ALGEBRA AND QUANTIZATION [J].
BATALIN, IA ;
VILKOVISKY, GA .
PHYSICS LETTERS B, 1981, 102 (01) :27-31
[5]  
BURSZTYN H, FROBENIUS THEO UNPUB
[6]  
BURSZTYN H, GEN REDUCTION UNPUB
[7]  
Carmeli C, 2011, EMS SER LECT MATH, P1, DOI 10.4171/097
[8]  
Cattaneo AS, 2009, AIP CONF PROC, V1093, P48
[9]   On the AKSZ formulation of the Poisson sigma model [J].
Cattaneo, AS ;
Felder, G .
LETTERS IN MATHEMATICAL PHYSICS, 2001, 56 (02) :163-179
[10]  
CATTANEO AS, ARXIV10090948