Configuration spaces, bistellar moves, and combinatorial formulae for the first Pontryagin class

Результат исследований: Вклад в журналСтатьярецензирование

3 Цитирования (Scopus)

Аннотация

The paper is devoted to the problem of finding explicit combinatorial formulae for the Pontryagin classes. We discuss two formulae, the classical Gabrielov-Gelfand-Losik formula based on investigation of configuration spaces and the local combinatorial formula obtained by the author in 2004. The latter formula is based on the notion of a universal local formula introduced by the author and on the usage of bistellar moves. We give a brief sketch for the first formula and a rather detailed exposition for the second one. For the second formula, we also succeed to simplify it by providing a new simpler algorithm for decomposing a cycle in the graph of bistellar moves of two-dimensional combinatorial spheres into a linear combination of elementary cycles.

Язык оригиналаАнглийский
Страницы (с-по)70-86
Число страниц17
ЖурналProceedings of the Steklov Institute of Mathematics
Том268
Номер выпуска1
DOI
СостояниеОпубликовано - 2010
Опубликовано для внешнего пользованияДа

Fingerprint

Подробные сведения о темах исследования «Configuration spaces, bistellar moves, and combinatorial formulae for the first Pontryagin class». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать