# M S Narasimhan's research while affiliated with Tata Institute of Fundamental Research and other places

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## Publications (3)

We prove in this paper that the equivalence classes of holomorphic vector bundles arising from n-dimensional irreducible unitary representations of the fundamental group r~ of a compact Riemann surface X of genus g(:> 2) form a complex manifold M of complex dimension n2(ff- 1) + 1. For n = 1, this complex manifold is the Picard variety of X. It may...

## Citations

... Proposition 3.2 may be used to describe the moduli space Bun n (Γ) of all vector bundles on a compact and connected metric graph Γ. One may think of this in analogy with [NS64], where a moduli space of (semi)-stable vector bundles is constructed using the Narasimhan-Seshadri correspondence. ...

... because End(F) is semistable of degree zero (recall that F is stable) and degree(T X) < 0 (recall that g ≥ 2); the unitary flat connection on F, [22], induces a unitary flat connection on End(F) and hence End(F) is polystable, in particular, End(F) is semistable. From Lemma 3.1 we have ...