All Stable Characteristic Classes of Homological Vector Fields

Elena Mosman, Alexey Sharapov

Результат исследований: Материалы для журналаСтатья

1 цитирование (Scopus)

Выдержка

An odd vector field Q on a supermanifold M is called homological, if Q2 = 0. The operator of Lie derivative LQ makes the algebra of smooth tensor fields on M into a differential tensor algebra. In this paper, we give a complete classification of certain invariants of homological vector fields called characteristic classes. These take values in the cohomology of the operator LQ and are represented by Q-invariant tensors made up of the homological vector field and a symmetric connection on M by means of the algebraic tensor operations and covariant differentiation.

Язык оригиналаАнглийский
Страницы (с-по)243-261
Число страниц19
ЖурналLetters in Mathematical Physics
Том94
Номер выпуска3
DOI
СостояниеОпубликовано - дек 2010
Опубликовано для внешнего пользованияДа

Отпечаток

Characteristic Classes
Vector Field
Tensor
tensors
Lie Derivative
Tensor Algebra
Supermanifold
Differential Algebra
algebra
Invariant
Operator
operators
Cohomology
homology
Odd
Algebra

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Цитировать

All Stable Characteristic Classes of Homological Vector Fields. / Mosman, Elena; Sharapov, Alexey.

В: Letters in Mathematical Physics, Том 94, № 3, 12.2010, стр. 243-261.

Результат исследований: Материалы для журналаСтатья

Mosman, Elena ; Sharapov, Alexey. / All Stable Characteristic Classes of Homological Vector Fields. В: Letters in Mathematical Physics. 2010 ; Том 94, № 3. стр. 243-261.
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