Arrangements, Tokyo, 1998 (Advanced Studies in Pure Mathematics No. 27)
By: Hiroaki Terao (editor), Michael Falk (editor)Hardback
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This volume comprises some of the written lectures from the proceedings of the conference on hyperplane arrangements held at the Tokyo Metropolitan University as a Regional Workshop of the Mathematical Society of Japan. This workshop was in celebration of the sixtieth birthday of Peter Orlik. The book contains contributions from an impressive group of mathematicians across a wide range of topics in singularity theory, topology, combinatorics, and geometry.
Deformations of Coxeter hyperplane arrangements and their characteristic polynomials by C. A. Athanasiadis On the cohomology of discriminantal arrangements and Orlik-Solomon algebras by D. C. Cohen On the number of bounding cycles for nonlinear arrangements by J. Damon Embedding the graphs of regular tilings and star-honeycombs into the graphs of hypercubes and cubic lattices by M. Deza and M. Shtogrin On the homotopy theory of arrangements, II by M. Falk and R. Randell Plumbing graphs for normal surface-curve pairs by E. Hironaka Polytopes, invariants and harmonic functions by K. Iwasaki Vassiliev invariants of braids and iterated integrals by T. Kohno Cohomology of local systems by A. Libgober and S. Yuzvinsky Cohomology rings and nilpotent quotients of real and complex arrangements by D. Matei and A. I. Suciu Recent progress of intersection theory for twisted (co)homology groups by K. Matsumoto and M. Yoshida Remarks on critical points of phase functions and norms of Bethe vectors by E. Mukhin and A. Varchenko Local system homology of arrangement complements by P. Orlik and R. Silvotti On the fundamental group of the complement of a complex hyperplane arrangement by L. Paris Logarithmic forms and anti-invariant forms of reflection groups by A. Shepler and H. Terao.
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