Recent Papers

• Bar complex of the Orlik-Solomon algebra, Topology and its applications 118 (2002) 147 -- 157.
  
  
• Conformal field theory and topology, Translations of Mathematical Monographs, Volume 210 American Mathematical Society, 2002, 182 pages.
  
  
• Loop spaces of configuration spaces and finite type invariants, Geometry and Topology Monographs, Vol. 4 (2002), Invariants of knots and 3-manifolds (Kyoto 2001), Paper no. 10, pages 143--160.
  
  
• Braids, hypergeometric integrals and conformal field theory, Proceedings of the First East Asian School of Knots, Links and Related Topics (2004).
  
  
• The volume of a hyperbolic simplex and iterated integrals, Series on Knots and Everything 40 (2007) 179--188.
  
  
• Loop spaces of configuration spaces and link homotopy invariants, Proceedings of East Asian Conference on Algebraic Topology (2007) .
  
  
• (with F. R. Cohen and M. A. Xicotencatl) Orbit configuration spaces associated to discrete subgroups of PSL(2, R), Journal of Pure and Applied Algebra, 213, (2009), 2289 -- 2300.
  
  
• Bar complex, configuration spaces and finite type invariants for braids, Topology and Its Applications 157 (2010) 2--9.
  
  
• (with L. Funar). On Burau representations at roots of unity.
  
  
• Hyperplane arrangements, local system homology and iterated integrals, to appear in Advanced Studies in Pure Mathematics.
  
  
• KZ equation - structure of monodromy representations and their applications to invariants of knots, Appendix to "Theory of Hypergeometric Functions" by Kazuhiko Aomoto amd Michitake Kita, Springer, (2010), 283--301.
  
  
• (with A. J. Pajitnov), Circle-valued Morse theory for complex hyperplane arrangements, arXiv:1101.0437v1 [math.GT]
  
  
• Quantum and homological representations of braid groups, to appear in Ann. Scuola Norm. Sup. Pisa.
  
  
• (with L. Funar). Free subgroups within the images of quantum representations, arXiv:1108.4904 [math.GT], to appear in Forum Mathematicum.
  
  

List of Publications

Books (in Japansese)