Notes on Basic 3-Manifold Topology
by Allen Hatcher
Number of pages: 61
The little that exists of the 3-manifolds book (see below for a table of contents) is rather crude and unpolished, and doesn't cover a lot of material, but it does contain a few things that aren't readily available elsewhere, like the elementary form of the Jaco-Shalen/Johannson torus decomposition theorem.
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by Nigel Hitchin
Geometry of Surfaces by Nigel Hitchin is a textbook on surfaces. However the author is also going to try and consider surfaces intrinsically, or abstractly, and not necessarily embedded in three-dimensional Euclidean space.
by A.A. Ranicki, et al, - Springer
The Hauptvermutung is the conjecture that any two triangulations of a polyhedron are combinatorially equivalent. This conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology.
by John R. Stallings - Tata Institute of Fundamental Research
These notes contain: The elementary theory of finite polyhedra in real vector spaces; A theory of 'general position' (approximation of maps), based on 'non-degeneracy'. A theory of 'regular neighbourhoods' in arbitrary polyhedra; etc.
by R. Fenn, D.P. Ilyutko, L.H. Kauffman, V.O. Manturov - arXiv
The purpose of this paper is to give an introduction to virtual knot theory and to record a collection of research problems that the authors have found fascinating. The paper introduces the theory and discusses some problems in that context.