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Minimal Triangulations of Circle Bundles, Circular Permutations, and the Binary Chern Cocycle. / Mnëv, N.

в: Journal of Mathematical Sciences (United States), Том 247, № 5, 01.06.2020, стр. 696-710.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Mnëv, N 2020, 'Minimal Triangulations of Circle Bundles, Circular Permutations, and the Binary Chern Cocycle', Journal of Mathematical Sciences (United States), Том. 247, № 5, стр. 696-710. https://doi.org/10.1007/s10958-020-04832-y

APA

Mnëv, N. (2020). Minimal Triangulations of Circle Bundles, Circular Permutations, and the Binary Chern Cocycle. Journal of Mathematical Sciences (United States), 247(5), 696-710. https://doi.org/10.1007/s10958-020-04832-y

Vancouver

Mnëv N. Minimal Triangulations of Circle Bundles, Circular Permutations, and the Binary Chern Cocycle. Journal of Mathematical Sciences (United States). 2020 Июнь 1;247(5):696-710. https://doi.org/10.1007/s10958-020-04832-y

Author

Mnëv, N. / Minimal Triangulations of Circle Bundles, Circular Permutations, and the Binary Chern Cocycle. в: Journal of Mathematical Sciences (United States). 2020 ; Том 247, № 5. стр. 696-710.

BibTeX

@article{f23e83ed61da463a84aa17722f6a3345,
title = "Minimal Triangulations of Circle Bundles, Circular Permutations, and the Binary Chern Cocycle",
abstract = "We investigate a PL topology question: which circle bundles can be triangulated over a given triangulation of the base? The question gets a simple answer emphasizing the role of minimal triangulations encoded by local systems of circular permutations of vertices of the base simplices. The answer is based on an experimental fact: the classical Huntington transitivity axiom for cyclic orders can be expressed as the universal binary Chern cocycle.",
author = "N. Mn{\"e}v",
year = "2020",
month = jun,
day = "1",
doi = "10.1007/s10958-020-04832-y",
language = "English",
volume = "247",
pages = "696--710",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Minimal Triangulations of Circle Bundles, Circular Permutations, and the Binary Chern Cocycle

AU - Mnëv, N.

PY - 2020/6/1

Y1 - 2020/6/1

N2 - We investigate a PL topology question: which circle bundles can be triangulated over a given triangulation of the base? The question gets a simple answer emphasizing the role of minimal triangulations encoded by local systems of circular permutations of vertices of the base simplices. The answer is based on an experimental fact: the classical Huntington transitivity axiom for cyclic orders can be expressed as the universal binary Chern cocycle.

AB - We investigate a PL topology question: which circle bundles can be triangulated over a given triangulation of the base? The question gets a simple answer emphasizing the role of minimal triangulations encoded by local systems of circular permutations of vertices of the base simplices. The answer is based on an experimental fact: the classical Huntington transitivity axiom for cyclic orders can be expressed as the universal binary Chern cocycle.

UR - http://www.scopus.com/inward/record.url?scp=85084697457&partnerID=8YFLogxK

U2 - 10.1007/s10958-020-04832-y

DO - 10.1007/s10958-020-04832-y

M3 - Article

AN - SCOPUS:85084697457

VL - 247

SP - 696

EP - 710

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 126276772