Cellular Chain Complexes of Universal Covers of Some 3-Manifolds | 東京大学大学院数理科学研究科理学部数学科

Loading [MathJax]/jax/output/CommonHTML/jax.js

ホーム

Journal of Mathematical Sciences
- Vol. 32 (2025)
  No.1
- Vol. 31 (2024)
  No.1-No.2
- Vol. 30 (2023)
  No.1-No.2-No.3
- Vol. 29 (2022)
  No.1-No.2-No.3
- Vol. 28 (2021)
  No.1-No.2-No.3-No.4
- Vol. 27 (2020)
  No.1
- Vol. 26 (2019)
  No.1-No.2-No.3
- Vol. 25 (2018)
  No.1-No.2
- Vol. 24 (2017)
  No.1-No.2-No.3
- Vol. 23 (2016)
  No.1-No.2-No.3-No.4
- Vol. 22 (2015)
  No.1-No.2-No.3-No.4
- Vol. 21 (2014)
  No.1-No.2
- Vol. 20 (2013)
  No.1-No.2-No.3-No.4
- Vol. 19 (2012)
  No.1-No.2-No.3-No.4
- Vol. 18 (2011)
  No.1-No.2-No.3-No.4
- Vol. 17 (2010)
  No.1-No.2-No.3-No.4
- Vol. 16 (2009)
  No.1-No.2-No.3-No.4
- Vol. 15 (2008)
  No.1-No.2-No.3-No.4
- Vol. 14 (2007)
  No.1-No.2-No.3-No.4
- Vol. 13 (2006)
  No.1-No.2-No.3-No.4
- Vol. 12 (2005)
  No.1-No.2-No.3-No.4
- Vol. 11 (2004)
  No.1-No.2-No.3-No.4
- Vol. 10 (2003)
  No.1-No.2-No.3-No.4
- Vol. 9 (2002)
  No.1-No.2-No.3-No.4
- Vol. 8 (2001)
  No.1-No.2-No.3-No.4
- Vol. 7 (2000)
  No.1-No.2-No.3-No.4
- Vol. 6 (1999)
  No.1-No.2-No.3-No.4
- Vol. 5 (1998)
  No.1-No.2-No.3-No.4
- Vol. 4 (1997)
  No.1-No.2-No.3
- Vol. 3 (1996)
  No.1-No.2-No.3
- Vol. 2 (1995)
  No.1-No.2-No.3
- Vol. 1 (1994)
  No.1-No.2-No.3

Cellular Chain Complexes of Universal Covers of Some 3-Manifolds

J. Math. Sci. Univ. Tokyo
Vol. 29 (2022), No. 1, Page 89-113.

Nosaka, Takefumi
Cellular Chain Complexes of Universal Covers of Some 3-Manifolds
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]

Abstract:
For a closed 3-manifold

$M$ in a certain class, we give a presentation of the cellular chain complex of the universal cover of

$M$ . The class includes all surface bundles, some surgeries of knots in

$S^3$ , some cyclic branched cover of

$S^3$ , and some Seifert manifolds. In application, we establish a formula for calculating the linking form of a cyclic branched cover of

$S^3$ , and develop procedures of computing some Dijkgraaf-Witten invariants.

Keywords: Universal covering, 3-manifold group, group homology, knot, branched coverings, linking form.

Mathematics Subject Classification (2010): 57M10, 58K65, 57N60, 55N45.

Mathematical Reviews Number: MR4414248

Received: 2021-08-20

このページのトップへ

〒153-8914　東京都目黒区駒場3-8-1　TEL:03-5465-7001（代表受付）　FAX：03-5465-7011（代表受付）

©copyright 2013 Graduate School of Mathematical Sciences, The University of Tokyo All rights reserved.