Nahm Transform for Higgs bundles

نویسندگان

  • Pedro Frejlich
  • Marcos Jardim
چکیده

We construct the Nahm transform for Higgs bundles over a Riemann surface of genus at least 2 as hyperholomorphic connections on the total space of the tangent bundle of its dual Jacobian. 2000 MSC: 53C07, 53C26

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Algebraic Nahm transform for parabolic Higgs bundles on P1

We formulate the Nahm transform in the context of parabolic Higgs bundles on P 1 and extend its scope in completely algebraic terms. This transform requires parabolic Higgs bundles to satisfy an admissibility condition and allows Higgs fields to have poles of arbitrary order and arbitrary behavior. Our methods are constructive in nature and examples are provided. The extended Nahm transform is ...

متن کامل

ar X iv : m at h / 06 10 30 1 v 1 [ m at h . A G ] 9 O ct 2 00 6 ALGEBRAIC NAHM TRANSFORM FOR PARABOLIC HIGGS BUNDLES ON P

— In this paper, we give a completely algebraic description of Nahm transform for parabolic Higgs bundles on P. 2 KÜRŞAT AKER & SZILÁRD SZABÓ

متن کامل

Spectral curves and Nahm transform for doubly-periodic instantons

We explore the role played by the spectral curves associated with Higgs pairs in the context of the Nahm transform of doubly-periodic instantons previously defined by the author. More precisely, we show how to construct a triple consisting of an algebraic curve plus a line bundle with connection over it from a doubly-periodic instanton, and that these coincide with the Hitchin’s spectral data a...

متن کامل

A survey on Nahm transform

We review the construction known as the Nahm transform in a generalized context, which includes all the examples of this construction already described in the literature. The Nahm transform for translation invariant instantons on R is presented in an uniform manner. We also analyze two new examples, the first of which being the first example involving a four-manifold that is not hyperk”ahler.

متن کامل

Algebraic Interpretation of Nahm Transform for Integrable

Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. Nahm transform for parabolic connections. . . . . . . . . . . . 3 2. Laplace transform without parabolic structure . . . . . . . 8 3. Meromorphic connections and D-modules. . . . . . . . . . . . 10 4. Minimal parabolic Laplace transform. . . . . . . . . . . . . . . . . 14 5. Proof – outline....

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008