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On Local Combinatorial Formulas for Chern Classes of a Triangulated Circle Bundle. / Mnev, N.; Sharygin, G.

в: Journal of Mathematical Sciences (United States), Том 224, № 2, 01.07.2017, стр. 304-327.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

Harvard

Mnev, N & Sharygin, G 2017, 'On Local Combinatorial Formulas for Chern Classes of a Triangulated Circle Bundle', Journal of Mathematical Sciences (United States), Том. 224, № 2, стр. 304-327. https://doi.org/10.1007/s10958-017-3416-2

APA

Mnev, N., & Sharygin, G. (2017). On Local Combinatorial Formulas for Chern Classes of a Triangulated Circle Bundle. Journal of Mathematical Sciences (United States), 224(2), 304-327. https://doi.org/10.1007/s10958-017-3416-2

Vancouver

Mnev N, Sharygin G. On Local Combinatorial Formulas for Chern Classes of a Triangulated Circle Bundle. Journal of Mathematical Sciences (United States). 2017 Июль 1;224(2):304-327. https://doi.org/10.1007/s10958-017-3416-2

Author

Mnev, N. ; Sharygin, G. / On Local Combinatorial Formulas for Chern Classes of a Triangulated Circle Bundle. в: Journal of Mathematical Sciences (United States). 2017 ; Том 224, № 2. стр. 304-327.

BibTeX

@article{4b9fc8f560214f278ca45ad138b3b73a,
title = "On Local Combinatorial Formulas for Chern Classes of a Triangulated Circle Bundle",
abstract = "A 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 the combinatorial sense). We express rational local formulas for all powers of the first Chern class in terms of expectations of the parities of the associated necklaces. This rational parity is a combinatorial isomorphism invariant of a triangulated circle bundle over a simplex, measuring the mixing by the triangulation of the circular graphs over vertices of the simplex. The goal of this note is to sketch the logic of deducing these formulas from Kontsevitch{\textquoteright}s cyclic invariant connection form on metric polygons.",
author = "N. Mnev and G. Sharygin",
year = "2017",
month = jul,
day = "1",
doi = "10.1007/s10958-017-3416-2",
language = "English",
volume = "224",
pages = "304--327",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - On Local Combinatorial Formulas for Chern Classes of a Triangulated Circle Bundle

AU - Mnev, N.

AU - Sharygin, G.

PY - 2017/7/1

Y1 - 2017/7/1

N2 - A 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 the combinatorial sense). We express rational local formulas for all powers of the first Chern class in terms of expectations of the parities of the associated necklaces. This rational parity is a combinatorial isomorphism invariant of a triangulated circle bundle over a simplex, measuring the mixing by the triangulation of the circular graphs over vertices of the simplex. The goal of this note is to sketch the logic of deducing these formulas from Kontsevitch’s cyclic invariant connection form on metric polygons.

AB - A 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 the combinatorial sense). We express rational local formulas for all powers of the first Chern class in terms of expectations of the parities of the associated necklaces. This rational parity is a combinatorial isomorphism invariant of a triangulated circle bundle over a simplex, measuring the mixing by the triangulation of the circular graphs over vertices of the simplex. The goal of this note is to sketch the logic of deducing these formulas from Kontsevitch’s cyclic invariant connection form on metric polygons.

UR - http://www.scopus.com/inward/record.url?scp=85019686152&partnerID=8YFLogxK

U2 - 10.1007/s10958-017-3416-2

DO - 10.1007/s10958-017-3416-2

M3 - Article

AN - SCOPUS:85019686152

VL - 224

SP - 304

EP - 327

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 126276893