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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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On local combinatorial formulas for Chern classes of triangulated circle bundleстатья
- Авторы: Мнёв Н.Е., Шарыгин Г.И.
- Сборник: ArXiv
- Серия: 1604.0371v1 hep-th
- Том: 1
- Год издания: 2016
- Издательство: Cornell University Press
- Местоположение издательства: United States
- Аннотация: Principal circle bundle over a PL polyhedron can be triangulated and thus obtains combinatorics. The triangulation is assembled from triangulated circle bundles over simplices. To every triangulated circle bundle over a simplex we associate a necklace (in combinatorial sense). We express rational local formulas for all powers of first Chern class in the terms of mathematical expectations of parities of the associated necklaces. This rational parity is a combinatorial isomorphism invariant of triangulated circle bundle over simplex, measuring mixing by triangulation of the circular graphs over vertices of the simplex. The goal of this note is to sketch the logic of deduction these formulas from Kontsevitch's cyclic invariant connection form on metric polygons.
- Добавил в систему: Шарыгин Георгий Игорьевич