Triangular Bases of Unimodular Bilinear Lattices and Induced Structures

Chapter 1. Introduction.- Chapter 2. Bilinear lattices and induced structures.- Chapter 3. Braid group actions.- Chapter 4. Braid group action on upper triangular 3×3 matrices.- Chapter 5. Automorphism groups.-Chapter 6. Monodromy groups and vanishing cycles.- Chapter 7. Distinguished bases in the rank 2 and rank 3 cases.- Chapter 8. Manifolds induced by the orbit of distinguished bases and the orbit of distinguished matrices.- Chapter 9. The manifolds in the rank 3 cases.- Chapter 10. Isolated hypersurface singularities.- Appendix A. Tools from hyperbolic geometry.- Appendix B. The first congruence subgroups.- Appendix C. Quadratic units via continued fractions.- Appendix D. Powers of quadratic units.- Bibliography.- Index.