A note on the topology of the complements of fiber-type line arrangements in CP2

Sheng Li Tan; Stephen S.T. Yau; Fei Ye

doi:10.2140/pjm.2011.251.207

A note on the topology of the complements of fiber-type line arrangements in CP²

Sheng Li Tan^*
, Stephen S.T. Yau
, Fei Ye

^*Corresponding author for this work

School of Mathematical Sciences

University of Illinois at Chicago

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

Abstract

We prove that BDiff₊ (S², {x₁,...,x_n+1}) is a K(π, 1) space, where π is the mapping class group of an (n+1)-punctured sphere. As a consequence we derive that the center-projecting braid monodromy of a fiber-type projective line arrangement determines the diffeomorphic type of its complement.

Original language	English
Pages (from-to)	207-218
Number of pages	12
Journal	Pacific Journal of Mathematics
Volume	251
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2011.251.207
State	Published - 2011

Keywords

Braid monodromy
Differentiable fiber bundle
Fiber-type line arrangement

Access to Document

10.2140/pjm.2011.251.207

Cite this

@article{d7e271d99b154b669fa273e148c524af,

title = "A note on the topology of the complements of fiber-type line arrangements in CP2",

abstract = "We prove that BDiff+ (S2, \{x1,...,xn+1\}) is a K(π, 1) space, where π is the mapping class group of an (n+1)-punctured sphere. As a consequence we derive that the center-projecting braid monodromy of a fiber-type projective line arrangement determines the diffeomorphic type of its complement.",

keywords = "Braid monodromy, Differentiable fiber bundle, Fiber-type line arrangement",

author = "Tan, \{Sheng Li\} and Yau, \{Stephen S.T.\} and Fei Ye",

year = "2011",

doi = "10.2140/pjm.2011.251.207",

language = "英语",

volume = "251",

pages = "207--218",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "Mathematical Sciences Publishers",

number = "1",

}

TY - JOUR

T1 - A note on the topology of the complements of fiber-type line arrangements in CP2

AU - Tan, Sheng Li

AU - Yau, Stephen S.T.

AU - Ye, Fei

PY - 2011

Y1 - 2011

N2 - We prove that BDiff+ (S2, {x1,...,xn+1}) is a K(π, 1) space, where π is the mapping class group of an (n+1)-punctured sphere. As a consequence we derive that the center-projecting braid monodromy of a fiber-type projective line arrangement determines the diffeomorphic type of its complement.

AB - We prove that BDiff+ (S2, {x1,...,xn+1}) is a K(π, 1) space, where π is the mapping class group of an (n+1)-punctured sphere. As a consequence we derive that the center-projecting braid monodromy of a fiber-type projective line arrangement determines the diffeomorphic type of its complement.

KW - Braid monodromy

KW - Differentiable fiber bundle

KW - Fiber-type line arrangement

UR - https://www.scopus.com/pages/publications/79957522910

U2 - 10.2140/pjm.2011.251.207

DO - 10.2140/pjm.2011.251.207

M3 - 文章

AN - SCOPUS:79957522910

SN - 0030-8730

VL - 251

SP - 207

EP - 218

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 1

ER -

A note on the topology of the complements of fiber-type line arrangements in CP²

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this