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A cut-and-paste method for computing the Seifert volumes
被引:20
作者
:
Khoi, VT
论文数:
0
引用数:
0
h-index:
0
机构:
Brandeis Univ, Dept Math, Waltham, MA 02454 USA
Brandeis Univ, Dept Math, Waltham, MA 02454 USA
Khoi, VT
[
1
]
机构
:
[1]
Brandeis Univ, Dept Math, Waltham, MA 02454 USA
来源
:
MATHEMATISCHE ANNALEN
|
2003年
/ 326卷
/ 04期
关键词
:
D O I
:
10.1007/s00208-003-0438-5
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
We use methods from gauge theory to compute the Seifert volumes of 3-manifolds. As applications, we are able to find the Seifert volumes of several hyperbolic manifolds obtained by surgery on 2-bridge knots.
引用
收藏
页码:759 / 801
页数:43
相关论文
共 14 条
[1]
IRREDUCIBLE UNITARY REPRESENTATIONS OF THE LORENTZ GROUP
[J].
BARGMANN, V
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0
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0
h-index:
0
BARGMANN, V
.
ANNALS OF MATHEMATICS,
1947,
48
(03)
:568
-640
[2]
The classification of exceptional Dehn surgeries on 2-bridge knots
[J].
Brittenham, M
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Nebraska, Lincoln, NE 68588 USA
Univ Nebraska, Lincoln, NE 68588 USA
Brittenham, M
;
Wu, YQ
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Nebraska, Lincoln, NE 68588 USA
Wu, YQ
.
COMMUNICATIONS IN ANALYSIS AND GEOMETRY,
2001,
9
(01)
:97
-113
[3]
THE GODBILLON-VEY INVARIANT OF A TRANSVERSELY HOMOGENEOUS FOLIATION
[J].
BROOKS, R
论文数:
0
引用数:
0
h-index:
0
机构:
NYU,COURANT INST MATH SCI,NEW YORK,NY 10012
BROOKS, R
;
GOLDMAN, W
论文数:
0
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0
h-index:
0
机构:
NYU,COURANT INST MATH SCI,NEW YORK,NY 10012
GOLDMAN, W
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TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
1984,
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[4]
VOLUMES IN SEIFERT SPACE
[J].
BROOKS, R
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机构:
NYU,COURANT INST MATH SCI,NEW YORK,NY 10012
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GOLDMAN, W
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机构:
NYU,COURANT INST MATH SCI,NEW YORK,NY 10012
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DUKE MATHEMATICAL JOURNAL,
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[5]
CHARACTERISTIC FORMS AND GEOMETRIC INVARIANTS
[J].
CHERN, SS
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0
引用数:
0
h-index:
0
机构:
SUNY, STONY BROOK, NY 11790 USA
CHERN, SS
;
SIMONS, J
论文数:
0
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0
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0
机构:
SUNY, STONY BROOK, NY 11790 USA
SIMONS, J
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1974,
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VARIETIES OF GROUP-REPRESENTATIONS AND SPLITTINGS OF 3-MANIFOLDS
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CULLER, M
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CULLER, M
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SHALEN, PB
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0
SHALEN, PB
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ANNALS OF MATHEMATICS,
1983,
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[7]
CLASSICAL CHERN-SIMONS THEORY .1.
[J].
FREED, DS
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, University of Texas at Austin, Austin
FREED, DS
.
ADVANCES IN MATHEMATICS,
1995,
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GODBILLON C, 1971, CR ACAD SCI A MATH, V273, P92
[9]
CHERN-SIMONS INVARIANTS OF 3-MANIFOLDS DECOMPOSED ALONG TORI AND THE CIRCLE BUNDLE OVER THE REPRESENTATION SPACE OF T(2)
[J].
KIRK, P
论文数:
0
引用数:
0
h-index:
0
机构:
FLORIDA STATE UNIV,DEPT MATH,TALLAHASSEE,FL 32306
FLORIDA STATE UNIV,DEPT MATH,TALLAHASSEE,FL 32306
KIRK, P
;
KLASSEN, E
论文数:
0
引用数:
0
h-index:
0
机构:
FLORIDA STATE UNIV,DEPT MATH,TALLAHASSEE,FL 32306
FLORIDA STATE UNIV,DEPT MATH,TALLAHASSEE,FL 32306
KLASSEN, E
.
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1993,
153
(03)
:521
-557
[10]
CHERN-SIMONS INVARIANTS OF 3-MANIFOLDS AND REPRESENTATION SPACES OF KNOT-GROUPS
[J].
KIRK, PA
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics 253-37, California Institute of Technology, Pasadena, 91125, CA
KIRK, PA
;
KLASSEN, EP
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics 253-37, California Institute of Technology, Pasadena, 91125, CA
KLASSEN, EP
.
MATHEMATISCHE ANNALEN,
1990,
287
(02)
:343
-367
←
1
2
→
共 14 条
[1]
IRREDUCIBLE UNITARY REPRESENTATIONS OF THE LORENTZ GROUP
[J].
BARGMANN, V
论文数:
0
引用数:
0
h-index:
0
BARGMANN, V
.
ANNALS OF MATHEMATICS,
1947,
48
(03)
:568
-640
[2]
The classification of exceptional Dehn surgeries on 2-bridge knots
[J].
Brittenham, M
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Nebraska, Lincoln, NE 68588 USA
Univ Nebraska, Lincoln, NE 68588 USA
Brittenham, M
;
Wu, YQ
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Nebraska, Lincoln, NE 68588 USA
Wu, YQ
.
COMMUNICATIONS IN ANALYSIS AND GEOMETRY,
2001,
9
(01)
:97
-113
[3]
THE GODBILLON-VEY INVARIANT OF A TRANSVERSELY HOMOGENEOUS FOLIATION
[J].
BROOKS, R
论文数:
0
引用数:
0
h-index:
0
机构:
NYU,COURANT INST MATH SCI,NEW YORK,NY 10012
BROOKS, R
;
GOLDMAN, W
论文数:
0
引用数:
0
h-index:
0
机构:
NYU,COURANT INST MATH SCI,NEW YORK,NY 10012
GOLDMAN, W
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
1984,
286
(02)
:651
-664
[4]
VOLUMES IN SEIFERT SPACE
[J].
BROOKS, R
论文数:
0
引用数:
0
h-index:
0
机构:
NYU,COURANT INST MATH SCI,NEW YORK,NY 10012
BROOKS, R
;
GOLDMAN, W
论文数:
0
引用数:
0
h-index:
0
机构:
NYU,COURANT INST MATH SCI,NEW YORK,NY 10012
GOLDMAN, W
.
DUKE MATHEMATICAL JOURNAL,
1984,
51
(03)
:529
-545
[5]
CHARACTERISTIC FORMS AND GEOMETRIC INVARIANTS
[J].
CHERN, SS
论文数:
0
引用数:
0
h-index:
0
机构:
SUNY, STONY BROOK, NY 11790 USA
CHERN, SS
;
SIMONS, J
论文数:
0
引用数:
0
h-index:
0
机构:
SUNY, STONY BROOK, NY 11790 USA
SIMONS, J
.
ANNALS OF MATHEMATICS,
1974,
99
(01)
:48
-69
[6]
VARIETIES OF GROUP-REPRESENTATIONS AND SPLITTINGS OF 3-MANIFOLDS
[J].
CULLER, M
论文数:
0
引用数:
0
h-index:
0
CULLER, M
;
SHALEN, PB
论文数:
0
引用数:
0
h-index:
0
SHALEN, PB
.
ANNALS OF MATHEMATICS,
1983,
117
(01)
:109
-146
[7]
CLASSICAL CHERN-SIMONS THEORY .1.
[J].
FREED, DS
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, University of Texas at Austin, Austin
FREED, DS
.
ADVANCES IN MATHEMATICS,
1995,
113
(02)
:237
-303
[8]
GODBILLON C, 1971, CR ACAD SCI A MATH, V273, P92
[9]
CHERN-SIMONS INVARIANTS OF 3-MANIFOLDS DECOMPOSED ALONG TORI AND THE CIRCLE BUNDLE OVER THE REPRESENTATION SPACE OF T(2)
[J].
KIRK, P
论文数:
0
引用数:
0
h-index:
0
机构:
FLORIDA STATE UNIV,DEPT MATH,TALLAHASSEE,FL 32306
FLORIDA STATE UNIV,DEPT MATH,TALLAHASSEE,FL 32306
KIRK, P
;
KLASSEN, E
论文数:
0
引用数:
0
h-index:
0
机构:
FLORIDA STATE UNIV,DEPT MATH,TALLAHASSEE,FL 32306
FLORIDA STATE UNIV,DEPT MATH,TALLAHASSEE,FL 32306
KLASSEN, E
.
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1993,
153
(03)
:521
-557
[10]
CHERN-SIMONS INVARIANTS OF 3-MANIFOLDS AND REPRESENTATION SPACES OF KNOT-GROUPS
[J].
KIRK, PA
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics 253-37, California Institute of Technology, Pasadena, 91125, CA
KIRK, PA
;
KLASSEN, EP
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics 253-37, California Institute of Technology, Pasadena, 91125, CA
KLASSEN, EP
.
MATHEMATISCHE ANNALEN,
1990,
287
(02)
:343
-367
←
1
2
→