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A Note on a Local Combinatorial Formula for the Euler Class of a PL Spherical Fiber Bundle. / Mnëv, N. E.

In: Journal of Mathematical Sciences (United States), Vol. 261, No. 5, 01.03.2022, p. 614-629.

Research output: Contribution to journal › Article › peer-review

Harvard

Mnëv, NE 2022, 'A Note on a Local Combinatorial Formula for the Euler Class of a PL Spherical Fiber Bundle', Journal of Mathematical Sciences (United States), vol. 261, no. 5, pp. 614-629. https://doi.org/10.1007/s10958-022-05776-1

APA

Mnëv, N. E. (2022). A Note on a Local Combinatorial Formula for the Euler Class of a PL Spherical Fiber Bundle. Journal of Mathematical Sciences (United States), 261(5), 614-629. https://doi.org/10.1007/s10958-022-05776-1

Vancouver

Mnëv NE. A Note on a Local Combinatorial Formula for the Euler Class of a PL Spherical Fiber Bundle. Journal of Mathematical Sciences (United States). 2022 Mar 1;261(5):614-629. https://doi.org/10.1007/s10958-022-05776-1

Author

Mnëv, N. E. / A Note on a Local Combinatorial Formula for the Euler Class of a PL Spherical Fiber Bundle. In: Journal of Mathematical Sciences (United States). 2022 ; Vol. 261, No. 5. pp. 614-629.

BibTeX

@article{04ffa6366df94b6abfe58ead0544f86d,
title = "A Note on a Local Combinatorial Formula for the Euler Class of a PL Spherical Fiber Bundle",
abstract = "We present a local combinatorial formula for the Euler class of an n-dimensional PL spherical fiber bundle as a rational number eCH associated to a chain of n + 1 abstract subdivisions of abstract n-spherical PL cell complexes. The number eCH is a combinatorial (or matrix) Hodgetheoretic twisting cochain in Guy Hirsch{\textquoteright}s homology model of the bundle associated with the PL combinatorics of the bundle.",
author = "Mn{\"e}v, {N. E.}",
year = "2022",
month = mar,
day = "1",
doi = "10.1007/s10958-022-05776-1",
language = "English",
volume = "261",
pages = "614--629",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - A Note on a Local Combinatorial Formula for the Euler Class of a PL Spherical Fiber Bundle

AU - Mnëv, N. E.

PY - 2022/3/1

Y1 - 2022/3/1

N2 - We present a local combinatorial formula for the Euler class of an n-dimensional PL spherical fiber bundle as a rational number eCH associated to a chain of n + 1 abstract subdivisions of abstract n-spherical PL cell complexes. The number eCH is a combinatorial (or matrix) Hodgetheoretic twisting cochain in Guy Hirsch’s homology model of the bundle associated with the PL combinatorics of the bundle.

AB - We present a local combinatorial formula for the Euler class of an n-dimensional PL spherical fiber bundle as a rational number eCH associated to a chain of n + 1 abstract subdivisions of abstract n-spherical PL cell complexes. The number eCH is a combinatorial (or matrix) Hodgetheoretic twisting cochain in Guy Hirsch’s homology model of the bundle associated with the PL combinatorics of the bundle.

UR - http://www.scopus.com/inward/record.url?scp=85127540941&partnerID=8YFLogxK

U2 - 10.1007/s10958-022-05776-1

DO - 10.1007/s10958-022-05776-1

M3 - Article

AN - SCOPUS:85127540941

VL - 261

SP - 614

EP - 629

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 126276713