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Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces

Author: William Mark Goldman; Eugene Zhu Xia
Publisher: Providence, R.I. : American Mathematical Society, ©2008.
Series: Memoirs of the American Mathematical Society, no. 904.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:

Details the theory of rank one Higgs bundles over a closed Riemann surface $X$ and their relation to representations of the fundamental group of $X$. This work constructs an equivalence between the  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: William Mark Goldman; Eugene Zhu Xia
ISBN: 9780821841365 082184136X
OCLC Number: 191010745
Notes: "May 2008, volume 193, number 904 (fourth of 5 numbers)."
Description: vii, 69 p. ; 26 cm.
Contents: Introduction Equivalences of deformation theories The Betti and de Rham deformation theories and their moduli spaces The Dolbeault groupoid Equivalence of de Rham and Dolbeault groupoids Hyperkahler geometry on the moduli space The twistor space The moduli space and the Riemann period matrix Bibliography.
Series Title: Memoirs of the American Mathematical Society, no. 904.
Responsibility: William M. Goldman, Eugene Z. Xia.

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