MATH 7590: Geometric Topology References

MATH 7590   Geometric Topology

Fall 2005

References

TitleAuthorNotes
Introduction to ArrangementsP. Orlik on reserve
Arrangements of HyperplanesP. Orlik and H. Terao on reserve

Some Braid-Related References

TitleAuthorNotes
The Mathematical Theory of Knots and BraidsS. Moran in library, see also this link
Braids, Links, and Mapping Class GroupsJ. Birman in library
Braids and CoveringsV. Hansen in library
KnotsG. Burde and H. Zieschang in library

Some papers on fundamental groups of arrangement complements

  1. R. Randell, The fundamental group of the complement of a union of complex hyperplanes, Inventiones Mathematicae 69 (1982), 103-108.

  2. D. Cohen and A. Suciu, The braid monodromy of plane algebraic curves and hyperplane arrangements, Commentarii Mathematici Helvetici 72 (1997), 285-315.

  3. A. Suciu, Fundamental groups of line arrangements: Enumerative aspects, Advances in algebraic geometry motivated by physics (E. Previato, ed.), Contemporary Math., Amer. Math. Soc., vol. 276 (2001), pp. 43-79.

Some papers on resonance

  1. M. Falk, Arrangements and cohomology, Annals of Combinatorics 1 (1997), 135-157.

  2. M. Falk, Combinatorial and algebraic structure in Orlik-Solomon algebras, European Journal of Combinatorics 22 (2001), 687-698.

  3. D. Cohen and A. Suciu, Characteristic varieties of arrangements, Mathematical Proceedings of the Cambridge Philosophical Society 127 (1999), 33-53.

  4. A. Libgober and S. Yuzvinsky, Cohomology of the Orlik-Solomon algebras and local systems, Compositio Mathematica 121 (2000), 337-361.


Dan Cohen                           Fall 2005
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