|
Homological representations of braid groups at roots of unity
and the space of conformal blocks,
"Low Dimensional Topology and Number Theory"
Springer Proceedings in Mathematics & Statistics
(2025),
111--132.
Temperley-Lieb-Jones category and the space of conformal blocks,
`` A collection of papers dedicated to Nobert A'Campo"
(ed. A. Papadopoulos), European Mathematical Society Press, (2023), 813--845.
Formal connections, higher holonomy functors and
iterated integrals,
Topology and Its Applications, (2021).
https://doi.org/10.1016/j.topol.2021.107985
Higher holonomy and iterated integrals,Topology and Geometry, A Collections
of Essays Dedicated to Vladimir G. Turaev,
edited by Athanase Papadopoulos,
European Mathematical Society, (2021), 309-327.
Higher holonomy maps for hyperplane arrangements,
European Journal of Mathematics, 1-23
DOI 10.1007/s40879-019-00382-z
Homological Representations of Braid Groups and the Space of
Conformal Blocks,
F. Callegaro et al. (eds.), Perspectives in Lie Theory,
Springer INdAM Series 19, DOI 10.1007/978-3-319-58971-8
Higher holonomy maps of formal homology connections
and braid cobordisms.
Journal of Knot Theory and Its Ramifications
Vol. 26 (2016),
DOI: 10.1142/S0218216516420074
Higher holonomy maps of formal homology connections
and braid cobordisms.
Journal of Knot Theory and Its Ramifications
Vol. 26 (2016),
DOI: 10.1142/S0218216516420074
Quantum representations of braid groups and
holonomy Lie algebras,
Advanced Studies in Pure Mathematics 72 (2017),
117-144.
Local systems on configuration spaces,
KZ connections and conformal blocks,
Acta Mathematica Vietnamica,
Volume 39, Issue 4 (2014), 575--598.
(with A. Pajitnov),
Novikov homology, jump loci and Massey products,
arXiv:1302.6785 [math.AT],
Cent. Eur. J. Math. 12(9), (2014), 1285-1304,
DOI: 10.2478/s11533-014-0413-2.
Homological representations of braid groups and
KZ connections,
Journal of Singularities 5, (2012), 94--108.
(with L. Funar).
Free subgroups within the images of quantum representations,
arXiv:1108.4904 [math.GT], Forum Mathematicum 2011,
Published on line DOI 10.1515, 19 pages.
Quantum and homological representations of braid groups,
"Configuration Spaces - Geometry, Combinatorics and
Topology, Edizioni della Normale (2012), 355--372.
(with A. Pajitnov),
Circle-valued Morse theory for complex hyperplane arrangements,
arXiv:1101.0437v1 [math.GT],
Forum Mathematicum,
Published on line DOI 10.1515/forum-2013-0032, 16 pages.
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.
Hyperplane arrangements, local system homology and
iterated integrals,
Advanced Studies in Pure Mathematics, 62, (2012), 157--174.
(with L. Funar).
On Burau representations at roots of unity,
Geometriae Dedicata: Volume 169, Issue 1 (2014), 145-163.
Bar complex, configuration spaces and finite type invariants for braids,
Topology and Its Applications 157 (2010) 2--9.
(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.
Loop spaces of configuration spaces and link homotopy invariants,
Proceedings of East Asian Conference on Algebraic Topology (2007) .
The volume of a hyperbolic simplex and iterated integrals,
Series on Knots and Everything 40 (2007) 179--188.
Braids, hypergeometric integrals and conformal field theory,
Proceedings of the First East Asian School of
Knots, Links and Related Topics (2004).
Braids, hypergeometric integrals and conformal field theory,
Proceedings of the First East Asian School of
Knots, Links and Related Topics (2004).
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.
Conformal field theory and topology,
Translations of Mathematical Monographs, Volume 210
American Mathematical Society, 2002, 182 pages.
Bar
complex of the Orlik-Solomon algebra,
Topology and
its applications 118 (2002) 147 -- 157.
Vassiliev invariants of braids and iterated integrals,
Advanced Studuies in Pure Math. 27 (2000), 157--168.
Topological quantum field theories with
focus on their applications to 3-manifolds,
Sugaku Expositions 11-2, Amer. Math. Soc. (1998), 145 -- 161.
Monodromy of conformal blocks,
Proc. Appl. Math. Workshops KAIST (1997), 179 -- 186
Chern-Simons perturbative invariants, in "Lectures at Knots
96" edited by S. Suzuki. (1997), 235 -- 261
Elliptic KZ system, braid group of the torus and Vassiliev invariants,
Topology and its applications 20 (1997), 1--16.
(with T. Takata) Level-rank duality of Witten's 3-manifold invariants
Advanced Stud. Pure. Math. 24 (1996), 243--264.
Vassiliev invariants and de Rham complex on the space of knots,
Contemp. Math. Amer. Math. Soc. 179 (1994)123--138.
Monodromy representations of conformal field theory and their applications,
"Geometry, Topology and Field Theory", Proceedings of the 31st
International Taniguchi Symposium (1994) 67--78.
Tunnel numbers of knots and Jones-Witten invariants, "Braid
group, knot
theory and statistical mechanics II" Advanced Series in Mathematical
Physics17 (1994) 275--293.
Topological invariants for 3-manifolds using representations of mapping
class groups II: Estimating tunnel number of knots, Contemp. Math. Amer.
Math. Soc. 175 (1994) 193--217.
Monodromy representations of braid groups, Sugaku Expositions
7-2 (1994) 117--141.
(with T. Takata)
Symmetry of Witten's 3-manifold
invariants for sl(n,C), Journal of Knot Theory and
Its Ramifications
2-2 (1993) 149--169.
Three-manifold invariants derived from conformal field theory and
projective representations of modular groups, International Journal
of Modern Physics 6 (1992) 1795--1805.
Topological invariants of 3-manifolds based on conformal field theory
and Heegaard splitting, "Quantum Groups", LNM 1510, Springer
(1992) 341--349.
Topological invariants for 3-manifolds using representations of mapping class groups I, Topology 31-2 (1992) 203--230.
Quantized universal enveloping algebras
and monodromy of braid groups,
Nagoya University, preprint
(1990).
Integrable connections related to Manin and
Schechtman's higher braid groups,
Illinois J. of Math.
34-2 (1990) 476--484.
Holonomy Lie algebras,
logarithmic connections and the lower central
series of fundamental groups,
Contemp. Math.
90 (1989) 171--182.
Fusion in the monodromy of braid groups,
Proc. of Nankai workshop, World Scientific
(1989) .
Monodromy of braid groups in conformal field theory
and positive Markov traces,
Differential Geometric Methods in Theoretical Physics,
eds. A. I. Solomon
(1989) 64--73.
Integrable systems related to braid groups
and Yang-Baxter equation,
Braid Group, Knot Theory and Statistical Mechanics,
eds. C. N. Yang and M. L. Ge
(1989) 135--150.
Monodromy of braid groups in conformal
field theory on P1 and Yang-Baxter equations,
Proc. of the 3rd Asia-Pacific Conference of Physics
(1988) 339--363.
Linear representations of braid groups and
classical Yang-Baxter equations,
Contemp. Math.
78 (1988) 339--363.
Monodromy representations of braid
groups and Yang-Baxter equations,
Ann. Inst. Fourier
37-4 (1987) 139--160.
Hecke algebra representations of braid groups
and classical Yang-Baxter equations,
Advanced Studies in Pure Math.
16 (1987) 189--200.
(with Takayuki Oda)
The lower central series of
the pure braid group of an algebraic curve,
Advanced Studies in Pure Math.
12 (1987) 255--269.
One-parameter family of linear representations
of Artin's braid groups,
Advanced Studies in Pure Math.
12 (1987) 189--200.
Homology of a local system on the complement of hyperplanes,
Proc. Japan Acad.
62, Ser. A (1986) 144--147.
Série de Poincaré-Koszul associée aux
groupes de tresses pures,
Invent. Math.
82 (1985) 57--75
An algebraic computation of the Alexander polynomial
of a plane algebraic curve,
Proc. Japan Acad.
59, Ser. A (1983) 94--97
On the holonomy Lie algebra and the nilpotent
completion of the fundamental group of the complement of hypersurfaces,
Nagoya Math. J.
92 (1983) 21--37.
Differential forms and the fundamental group of
the complement of hypersurfaces, Proc. Symp. in Pure Math. AMS 40-1 (1982) 655--662.
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