The SU(2) -character variety of the closed surface of genus 2

Nan Kuo Ho; Lisa C. Jeffrey; Khoa Dang Nguyen; Eugene Z. Xia

doi:10.1007/s10711-017-0296-z

The SU(2) -character variety of the closed surface of genus 2

Nan Kuo Ho
, Lisa C. Jeffrey
, Khoa Dang Nguyen
, Eugene Z. Xia

Department of Mathematics

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

2 Citations (Scopus)

Abstract

We study the symplectic geometry of the SU (2) -representation variety of the compact oriented surface of genus 2. We use the Goldman flows to identify subsets of the moduli space with corresponding subsets of P³(C). We also define and study two antisymplectic involutions on the moduli space and their fixed point sets.

Original language	English
Pages (from-to)	171-187
Number of pages	17
Journal	Geometriae Dedicata
Volume	192
Issue number	1
DOIs	https://doi.org/10.1007/s10711-017-0296-z
Publication status	Published - 2018 Feb 1

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1007/s10711-017-0296-z

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abstract = "We study the symplectic geometry of the SU (2) -representation variety of the compact oriented surface of genus 2. We use the Goldman flows to identify subsets of the moduli space with corresponding subsets of P3(C). We also define and study two antisymplectic involutions on the moduli space and their fixed point sets.",

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AU - Nguyen, Khoa Dang

AU - Xia, Eugene Z.

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N2 - We study the symplectic geometry of the SU (2) -representation variety of the compact oriented surface of genus 2. We use the Goldman flows to identify subsets of the moduli space with corresponding subsets of P3(C). We also define and study two antisymplectic involutions on the moduli space and their fixed point sets.

AB - We study the symplectic geometry of the SU (2) -representation variety of the compact oriented surface of genus 2. We use the Goldman flows to identify subsets of the moduli space with corresponding subsets of P3(C). We also define and study two antisymplectic involutions on the moduli space and their fixed point sets.

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The SU(2) -character variety of the closed surface of genus 2

Abstract

All Science Journal Classification (ASJC) codes

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