INTERSECTION OF CURVES ON SURFACES AND THEIR APPLICATIONS TO MAPPING CLASS GROUPS

被引：0

作者：

Kawazumi, Nariya ^{[1
]}

Kuno, Yusuke ^{[2
]}

机构：

[1] Univ Tokyo, Dept Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan

[2] Tsuda Coll, Dept Math, Kodaira, Tokyo 1878577, Japan

来源：

ANNALES DE L INSTITUT FOURIER | 2015年 / 65卷 / 06期

关键词：

Goldman bracket; Turaev cobracket; Lie bialgebra; mapping class group; Dehn twist; Johnson homomorphisms; LOOPS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce an operation which measures the self intersections of paths on an oriented surface. As applications, we give a criterion of the realizability of a generalized Dehn twist, and derive a geometric constraint on the image of the Johnson homomorphisms.

引用

页码：2711 / 2762

页数：52

共 50 条

[41] A comparison of classes in the Johnson cokernels of the mapping class groups of surfaces
Enomoto, Naoya
Kuno, Yusuke
Satoh, Takao
TOPOLOGY AND ITS APPLICATIONS, 2020, 271
[42] Hierarchically cocompact classifying spaces for mapping class groups of surfaces
Nucinkis, Brita
Petrosyan, Nansen
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2018, 50 (04) : 569 - 582
[43] SYMPLECTIC MAPPING CLASS GROUPS OF SOME STEIN AND RATIONAL SURFACES
Evans, Jonathan David
JOURNAL OF SYMPLECTIC GEOMETRY, 2011, 9 (01) : 45 - 82
[44] The pentagon equation and mapping-class groups of punctured surfaces
Kashaev, RM
THEORETICAL AND MATHEMATICAL PHYSICS, 2000, 123 (02) : 576 - 581
[45] ON THE DIMENSIONS OF MAPPING CLASS GROUPS OF NON-ORIENTABLE SURFACES
Hidber, Cristhian E.
Jorge Sanchez Saldana, Luis
Trujillo-Negrete, Alejandra
HOMOLOGY HOMOTOPY AND APPLICATIONS, 2022, 24 (01) : 347 - 372
[46] The Pentagon equation and mapping-class groups of punctured surfaces
R. M. Kashaev
Theoretical and Mathematical Physics, 2000, 123 : 576 - 581
[47] Differential geometry of intersection curves of two surfaces
Ye, XZ
Maekawa, T
COMPUTER AIDED GEOMETRIC DESIGN, 1999, 16 (08) : 767 - 788
[48] CURVES WITH NEGATIVE SELF INTERSECTION ON RATIONAL SURFACES
KUMAR, NM
MURTHY, MP
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1983, 22 (04): : 767 - 777
[49] Stochastic visualization of intersection curves of implicit surfaces
Jo, Yoshitomo
Oka, Masafumi
Kimura, Akinori
Hasegawa, Kyoko
Saitoh, Ayumu
Nakata, Susumu
Shibata, Akihiro
Tanaka, Satoshi
COMPUTERS & GRAPHICS-UK, 2007, 31 (02): : 230 - 242
[50] Intersection curves between quadric surfaces of revolution
Liu, Y
ZsomborMurray, P
TRANSACTIONS OF THE CANADIAN SOCIETY FOR MECHANICAL ENGINEERING, 1995, 19 (04) : 435 - 453

← 1 2 3 4 5 →