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Rank One Higgs Bundles and Representations of Fundamental Groups of Riemann Surfaces
This expository article details the theory of rank one Higgs bundles over a closed Riemann surface $X$ and their relation to representations of the fundamental group of $X$. The authors construct an equivalence between the deformation theories of flat connections and Higgs pairs. This provides an identification of moduli spaces arising in different contexts. The moduli spaces are real Lie groups. From each context arises a complex structure, and the different complex structures define a hyperkähler structure. The twistor space, real forms, and various group actions are computed explicitly in terms of the Jacobian of $X$. The authors describe the moduli spaces and their geometry in terms of the Riemann period matrix of $X$.
Combined Membership List
Lists for 19 include the Mathematical Association of America, and 1955- also the Society for Industrial and Applied Mathematics.
Combined Membership List (American Mathematical Society)
Lists for 19 include the Mathematical Association of America, and 1955- also the Society for Industrial and Applied Mathematics.
Chinese American Transnational Politics
Born and raised in San Francisco, Lai was trained as an engineer but blazed a trail in the field of Asian American studies. Long before the field had any academic standing, he amassed an unparalleled body of source material on Chinese America and drew on his own transnational heritage and Chinese patriotism to explore the global Chinese experience. In Chinese American Transnational Politics, Lai traces the shadowy history of Chinese leftism and the role of the Kuomintang of China in influencing affairs in America. With precision and insight, Lai penetrates the overly politicized portrayals of a history shaped by global alliances and enmities and the hard intolerance of the Cold War era. The ...
