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Geometry and Topology by University of Toronto
This PDF covers the following topics related to Geometric Topology : Manifolds, Topological manifolds, Smooth manifolds, Manifolds with boundary, Cobordism, Smooth maps, Local structure of smooth maps, Transversality, Stability, Genericity of transversality, Partitions of unity and Whitney embedding, Intersection theory, The tangent bundle and vector bundles, Properties of vector fields, Vector bundles, Associated bundles, Differential forms, The exterior derivative, Integration, The Mayer-Vietoris sequence, Examples of cohomology computations.
Author(s): Faculty of Arts and Science, University of Toronto
44 Pages 
This book contains below topics, Geometric preliminaries, Gromov Thurston examples, A convexity theorem, Products of matrices, Construction of convex projective structures on Gromov Thurston manifolds, Dual complex to the conical stratification of an affine manifold.
Author(s): Michael Kapovich, University of California Davis
54 Pages
Geometric Topology Notes by Dexter Chua
This note covers the following topics, Walls finiteness obstruction, The whitehead torsion, The s cobordism theorem, Siebenmanns end theorem, Fibering over a circle.
Author(s): Dexter Chua
38 Pages
This PDF book covers the following topics related to Geometric Topology, Klees Trick, Manifold factors, Stable homeomorphisms and the annulus conjecture, Cellular homology, Some elementary homotopy theory, Walls finiteness obstruction, A weak Poincare Conjecture in high dimensions, Stallings characterization of euclidean space, Whitehead torsion, Siebenmanns Thesis, Torus trickery 101 local contractibility, Torus trickery 102 the Annulus Conjecture, Homotopy structures on manifolds, etc.
Author(s): Rutgers University
193 Pages
Geometric Topology by Dennis Sullivan
This PDF book covers the following topics related to Geometric Topology, Algebraic Constructions, Homotopy Theoretical Localization, Completions in Homotopy Theory, Spherical Fibrations, Algebraic Geometry, The Galois Group in Geometric Topology.
Author(s): Dennis Sullivan, Massachusetts Institute of Technology
250 Pages