This volume presents the proceedings of the Tel Aviv International Topology Conference held during the Special Topology Program at Tel Aviv University. The book is dedicated to Professor Mel Rothenberg on the occasion of his 65th birthday. His contributions to topology are well known - from the early work on triangulations to numerous papers on transformation groups and on geometric and analytic aspects of torsion theory. Current research related to those contributions are reported in this book. Coverage is included on the following topics: vanishing theorems for the Dirac operator, the theory of Reidemeister torsion (including infinite dimensional flat bundles), Nobikov-Shubin invariants of manifolds, topology of group actions, Lusternik-Schnirelman theory for closed 1-forms, finite type invariants of links and 3-manifolds, equivariant cobordisms, equivariant orientations and Thom isomorphisms, and more.
Vanishing theorems on covering manifolds by M. Braverman The Sunada method by R. Brooks Relative torsion for homotopy triangulations by D. Burghelea, L. Friedlander, and T. Kappeler Nonlinear similarity and linear similarity are equivariant below dimension 6 by S. Cappell and J. Shaneson Massey products and critical points by M. Farber Absolute torsion by M. Farber and V. Turaev Signatures of links and finite type invariants of cyclic branched covers by S. Garoufalidis The relation between compact and non-compact equivariant cobordisms by V. L. Ginzburg, V. L. Guillemin, and Y. Karshon Volume of Riemannian manifolds, geometric inequalities, and homotopy theory by M. G. Katz and A. I. Suciu Pure braids, a new subgroup of the mapping class group and finite-type invariants of 3-manifolds by J. Levine Novikov-Shubin invariants for arbitrary group actions and their positivity by W. Luck, H. Reich, and T. Schick Differential operator endomorphisms of an Euler-Lagrange complex by M. Markl and S. Shnider $K$-theory of twisted group $C*$-algebras and positive scalar curvature by V. Mathai Equivariant orientations and Thom isomorphisms by J. P. May Algorithmic aspects of homeomorphism problems by A. Nabutovsky and S. Weinberger The $G$-signature theorem revisited by J. Rosenberg A sequence of connections and a characterization of Kahler manifolds by M. Shubin New invariants for surfaces by M. Teicher The arithmeticity of groups of automorphisms of spaces by G. Triantafillou Nonlinear averaging, embeddings, and group actions by S. Weinberger Higher $\rho$-invariants by S. Weinberger.