For any alternating knot, it is known that the double branched cover of the 3-sphere branched over the knot is an L-space. We show that the three-fold cyclic branched cover is also an L-space for any genus one alternating knot.
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https://www.riss.kr/link?id=A100985261
2015
English
SCIE,SCOPUS,KCI등재
학술저널
1139-1148(10쪽)
2
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
For any alternating knot, it is known that the double branched cover of the 3-sphere branched over the knot is an L-space. We show that the three-fold cyclic branched cover is also an L-space for any genus one alternating knot.
For any alternating knot, it is known that the double branched cover of the 3-sphere branched over the knot is an L-space. We show that the three-fold cyclic branched cover is also an L-space for any genus one alternating knot.
참고문헌 (Reference)
1 M. Hori, "a private communication"
2 A. Champanerkar, "Twisting quasi-alternating links" 137 (137): 2451-2458, 2009
3 Y. Hu, "The left-orderability and the cyclic branched coverings"
4 C. McA. Gordon, "Taut foliations, left-orderability, and cyclic branched covers" 39 (39): 599-635, 2014
5 Y. Nakanishi, "Primeness of links" 9 (9): 415-440, 1981
6 M. Sakuma, "Periods of composite links" 9 (9): 445-452, 1981
7 P. Ozsv´ath, "On the Heegaard Floer homology of branched double-covers" 194 (194): 1-33, 2005
8 A. T. Tran, "On left-orderability and cyclic branched coverings"
9 P. Ozsv´ath, "On knot Floer homology and lens space surgeries" 44 (44): 1281-1300, 2005
10 T. Peters, "On L-spaces and non left-orderable 3-manifold groups"
1 M. Hori, "a private communication"
2 A. Champanerkar, "Twisting quasi-alternating links" 137 (137): 2451-2458, 2009
3 Y. Hu, "The left-orderability and the cyclic branched coverings"
4 C. McA. Gordon, "Taut foliations, left-orderability, and cyclic branched covers" 39 (39): 599-635, 2014
5 Y. Nakanishi, "Primeness of links" 9 (9): 415-440, 1981
6 M. Sakuma, "Periods of composite links" 9 (9): 445-452, 1981
7 P. Ozsv´ath, "On the Heegaard Floer homology of branched double-covers" 194 (194): 1-33, 2005
8 A. T. Tran, "On left-orderability and cyclic branched coverings"
9 P. Ozsv´ath, "On knot Floer homology and lens space surgeries" 44 (44): 1281-1300, 2005
10 T. Peters, "On L-spaces and non left-orderable 3-manifold groups"
11 S. Boyer, "On L-spaces and left-orderable fundamental groups" 356 (356): 1213-1245, 2013
12 G. Burde, "Knots" Walter de Gruyter & Co 2003
13 R. Patton, "Incompressible punctured tori in the complements of alternating knots" 301 (301): 1-22, 1995
14 J. Greene, "Homologically thin, non-quasi-alternating links" 17 (17): 39-49, 2010
15 J. Baldwin, "Heegaard Floer homology and genus one, one-boundary component open books" 1 (1): 963-992, 2008
16 D. Gabai, "Genera of the arborescent links" 59 (59): 1-98, 1986
17 M. Teragaito, "Fourfold cyclic branched covers of genus one two-bridge knots are L-spaces" 20 (20): 391-403, 2014
18 S. Boyer, "Cyclic surgery and boundary slopes, Geometric topology (Athens, GA, 1993)" Amer. Math. Soc 2 (2): 62-79, 1997
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학술지 이력
연월일 | 이력구분 | 이력상세 | 등재구분 |
---|---|---|---|
2023 | 평가예정 | 해외DB학술지평가 신청대상 (해외등재 학술지 평가) | |
2020-01-01 | 평가 | 등재학술지 유지 (해외등재 학술지 평가) | |
2010-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2008-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2006-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2004-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2001-07-01 | 평가 | 등재학술지 선정 (등재후보2차) | |
1999-01-01 | 평가 | 등재후보학술지 선정 (신규평가) |
학술지 인용정보
기준연도 | WOS-KCI 통합IF(2년) | KCIF(2년) | KCIF(3년) |
---|---|---|---|
2016 | 0.35 | 0.1 | 0.27 |
KCIF(4년) | KCIF(5년) | 중심성지수(3년) | 즉시성지수 |
0.23 | 0.2 | 0.339 | 0.04 |