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  • A Study of Riemannian Geometry 
    SAFEER, K M (2016-05)
    In this reading project I studied some interesting results in Riemannian geometry. Starting from the definition of Riemannian metric, geodesics and curvature this thesis covers deep results such as Gauss-Bonnet theorem, ...
  • Topology and Cascade in Power Transmission Network of India 
    CHOUDHARY, DINESH (2017-04)
    The size and complexity of power transmission networks make them good candidates for study using the framework of the complex networks. The topological properties of any network in uence the dynamics and stability of ...
  • Emergence of controlled dynamics and role of topology in complex networks 
    GAKHARE, HARSH (2018-05)
    The complexity of several systems is a confluence of the intricate structure of their interactions and the intrinsic dynamics of its constituent elements. Complex network framework can be used to study such systems ...
  • Topics in low dimensional topology 
    SHAH, TANUSHREE (2018-05)
    We construct a graph where vertices are 3-manifolds and we join two manifolds if they differ by a Morse surgery. We prove that this graph is connected and unbounded. And then we study how torus bundles are placed in this ...
  • Algebraic Topology and Obstruction Theory 
    OUSEPH, CHRISIL (2022-05)
    This thesis aims to serve as an excursion into the theories of homology, cohomology and characteristic classes, conventional tools used to study topological spaces and vector bundles with origins in Algebraic Topology. ...
  • Knots, Links and Spherical Braids in Real Projective 3-space 
    NARAYANAN, VISAKH (2023-07)
    This thesis studies some geometric properties of knots in real projective 3-space. These ideas are borrowed from classical knot theory. Since knots in $\mathbb{R}P^3$ are classified into three disjoint classes: affine, ...

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