Heegaard?Floer homology for singular knots. arXiv.org:0705.2377, Bel07] A. Beliakova. On simplification of the combinatorial link Floer homology. arXiv, 2007. ,
Representations of the covering groups of the symmetric groups and their combinatorics, Sém. Lothar. Combin, vol.33, 1994. ,
Computations of heegaard-floer knot homology. arXiv.org:math/0610167, 2006. ,
On Khovanov???s categorification of the Jones polynomial, Algebraic Geometry and Topology, p.337, 2002. ,
DOI : 10.2140/agt.2002.2.337
Regina: Normal surface and 3-manifold topology software, 1999. ,
On discrete Morse functions and combinatorial decompositions, Discrete Math, vol.217, issue.1-3, pp.101-113, 1997. ,
Introduction to Algorithms, 2001. ,
Embedding knots and links in an open book. I. Basic properties, Topology Appl, vol.64, issue.1, pp.37-58, 1995. ,
Discrete torsion and symmetric products. arXiv.org:hep-th, 1999. ,
Arc-presentations of links: monotonic simplification . Fund BIBLIOGRAPHY [For98a] R. Forman. Combinatorial vector fields and dynamical systems, Math. Math. Z, vol.190, issue.2284, pp.29-76629, 1998. ,
Morse theory for cell complexes, Adv. Math, vol.134, issue.1, pp.90-145, 1998. ,
Witten-Morse theory for cell complexes, Topology, vol.37, issue.5, pp.945-979, 1998. ,
Discrete Morse theory and graph braid groups, Algebraic & Geometric Topology, vol.5, issue.3, p.1075, 2005. ,
DOI : 10.2140/agt.2005.5.1075
Knot Floer homology detects genus-one fibred knots. arXiv.org:math/0603445, 2006. ,
Computing optimal Morse matchings . arXiv.org:math/0408331, 2004. ,
Discrete morse theory for free chain complexes, SER.I, vol.340, p.867, 2005. ,
Optimal discrete Morse functions for 2-manifolds, Computational Geometry, vol.26, issue.3, pp.221-233, 2003. ,
DOI : 10.1016/S0925-7721(03)00014-2
Applications of Forman's discrete Morse theory to topology visualization and mesh compression, IEEE Transactions on Visualization and Computer Graphics, vol.10, issue.5, pp.499-508, 2004. ,
DOI : 10.1109/TVCG.2004.18
The Topology of CW Complexes, 1969. ,
DOI : 10.1007/978-1-4684-6254-8
Morse theory. Based on lecture notes by M, Spivak and R. Wells. Annals of Mathematics Studies, issue.51, 1963. ,
Lectures on the h-cobordism theorem. Notes by L. Siebenmann and J. Sondow, 1965. ,
A combinatorial description of knot floer homology. arXiv.org:math/0607691, 2006. ,
On combinatorial link floer homology. arXiv.org:math/0610559, 2006. ,
Elementary differential topology, volume 1961 of Lectures given at Massachusetts Institute of Technology, Fall, Ni06] Y. Ni. Knot Floer homology detects fibred knots. arXiv.org:math/0607156, 1966. ,
Transverse knots distinguished by knot floer homology. arXiv.org:math/0703446, OS04a] P. Ozsváth and Z. Szabó. Holomorphic disks and genus bounds, p.311, 2004. ,
Holomorphic disks and knot invariants, Advances in Mathematics, vol.186, issue.1, p.58, 2004. ,
DOI : 10.1016/j.aim.2003.05.001
Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math, vol.159, issue.23, pp.1027-1158, 2004. ,
Holomorphic disks and link invariants. arXiv.org:math/0512286, 2005. ,
Floer homology and singular knots, Journal of Topology, vol.295, issue.2, 2007. ,
DOI : 10.1112/jtopol/jtp015
Legendrian knots, transverse knots and combinatorial floer homology. arXiv.org:math/0611841, 2006. ,
On the Novikov complex for rational Morse forms, Ras03] J. Rasmussen. Floer homology and knot complements. arXiv.org, pp.297-3380306378, 1995. ,
Introduction to piecewiselinear topology, 1972. ,
The Howe duality and the projective representations of symmetric groups. Represent. Theory BIBLIOGRAPHY [Sin33] J. Singer. Three-dimensional manifolds and their Heegaard diagrams, Trans. Amer. Math. Soc, vol.3, issue.351, pp.416-43488, 1933. ,
Morse theory from an algebraic viewpoint, Sma60] S. Smale. Morse inequalities for a dynamical system, pp.115-12943, 1960. ,
DOI : 10.1090/S0002-9947-05-04079-1
On the structure of manifolds, Amer. J. Math, vol.84, pp.387-399, 1962. ,
Combinatorial Morse theory and minimality of hyperplane arrangements. arXiv, 2007. ,
Sur une partition en cellules associéè a une fonction sur une variété Euler structures, nonsingular vector fields, and Reidemeister-type torsions, C. R. Acad. Sci. Paris Izv. Akad. Nauk SSSR Ser. Mat, vol.228, issue.672, pp.973-975607, 1949. ,
Torsion invariants of Spin c -structures on 3- manifolds, Math. Res. Lett, vol.4, issue.5, pp.679-695, 1997. ,
Torsions of 3-dimensional manifolds Turaev and O. Ya. Viro. State sum invariants of 3- manifolds and quantum 6j-symbols, of Progress in Mathematics. Birkhäuser Verlag, pp.31865-902, 1992. ,
Remarks on definition of khovanov homology. arXiv.org:math/0202199, 2002. ,
On C 1 -complexes, Ann. of Math, vol.41, issue.2, pp.809-824, 1940. ,
Geometric Integration Theory, 1957. ,
DOI : 10.1515/9781400877577
Supersymmetry and Morse theory, J. Diff. Geom, vol.17, pp.661-692, 1982. ,