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Preprints
- Invariants of links and 3-manifolds from graph configurations, arXiv:2001.09929 pdf
- A universal equivariant finite type knot invariant defined from configuration space integrals , arXiv:1306.1705 pdf
- On the cube of the equivariant linking pairing for knots and 3--manifolds of rank one, arXiv:1008.5026 pdf
- Splitting formulae for the Kontsevich-Kuperberg-Thurston
invariant for rational homology 3-spheres, math.GT/0411431 pdf
- On the Kontsevich-Kuperberg-Thurston construction of a configuration-space invariant for rational homology 3-spheres, math.GT/0411088 pdf
Lecture notes
Publications
Icons
link to the last version submitted to the editor. Please, send me an email if you want a copy of the published version.
- With Thang Lê, Robert Lipshitz and Paul Turner, Lectures on quantum topology in dimension three,
Panoramas et synthèses, Société Mathématique de France,
48 (2016),
174 pages.
- A combinatorial definition of the Theta invariant from Heegaard diagrams, arXiv:1402.2261 pdf, North-Western European Journal of Mathematics Volume 2 (2016) 17-81.
- A formula for the Theta invariant from Heegaard diagrams,
Geometry and Topology 19 (2015) 1205-1248.
- On homotopy invariants of combings of three-manifolds,
Canadian Journal of Mathematics 67 (2015), no. 1, 152-183.
- An introduction to finite type invariants of knots and 3-manifolds defined by counting graph configurations,
Proceedings of the conference "Quantum topology" organized by Chelyabinsk State
University in July 2014,
Bulletin of Chelyabinsk State University Mathematics
Mechanics Informatics Issue 17 (2015) no. 3 (358), 67-117.
- Knot invariants derived from the equivariant linking pairing ,
AMS/IP Studies in Advanced Mathematics, Volume 50, (2011) 217-242. arXiv:1001.4474
- Surgery formulae for finite type invariants of rational homology $3$--spheres,
Algebraic and Geometric Topology 9 (2009) 979-1047. math.GT/0703347
- With Emmanuel Auclair, Clover calculus for homology 3-spheres via basic algebraic topology,
Algebraic and Geometric Topology 5 (2005), paper no. 5, pages 71-106.
- Knot invariants and configuration space integrals.
Lecture notes for the July 2003 Summer School in Villa
de Leyva (Columbia).
Lecture Notes in Physics 668, 1-57 (2005) Springer-Verlag Berlin Heidelberg 2006
www.springerlink.com
- On configuration space integrals for links,
Geometry and Topology Monographs
Volume 4 (2002): Invariants of knots and 3-manifolds (Kyoto 2001)
183-199.
- About the uniqueness of the Kontsevich Integral,
Journal of Knot Theory and its Ramifications 11 5 (2002) 759-780.
The preprint math.GT/0004094 contains the article and an additional section.
- A
sum formula for the Casson-Walker invariant,
Inventiones Math., 133 (1998) 613-681.
- On
the Casson invariant,
Proceedings of the European Congress
of Mathematicians, Budapest 1996, Birkhäuser, 168 (1998) 296-312.
- Quelques
présentations des variétés de dimension 3,
femmes et maths, 4 (2000) 19-29.
- On the kernel of the Casson invariant,
Topology 37 (1998) 25-37.
- Global surgery formula for the Casson-Walker
invariant,
Annals of mathematics Studies, Princeton University Press,
140 (1996)
150 pages.
- Une formule de somme pour l'invariant de
Casson-Walker,
C. R. Acad. Sci. Paris Série I, 320 (1995) 843-846.
- Un calcul élémentaire de l'invariant
de Casson des sphères d'homologie entière fibrées
de Seifert à trois fibres exceptionnelles,
appendix to the article by Lucien Guillou and Alexis Marin:
Notes sur l'invariant de Casson des sphères d'homologie de
dimension 3, L'Enseignement Math., 38 (1992) 233-290.
- Sur le calcul de l'invariant de Casson-Walker,
Ph. D. thesis, November 1991.
- Un algorithme pour calculer l'invariant
de Walker,
Bulletin de la SMF, 118 (1990) 363-376.
- Invariant de Casson-Walker des sphères
d'homologie rationnelle fibrées de Seifert,
C. R. Acad. Sci. Paris Série I, 310 (1990) 727-730.
Slides of talks
- On topological invariants counting graph configurations, Conference Moduli and Friends, Institute of Mathematics of the Romanian Academy, Bucharest, September 15, 2023.
- Counting graphs in 3-manifolds (II), International Conference on Quantum Topology, Lake Bannoye, Magnitogorsk, Laboratory of Quantum Topology of Chelyabinsk State University, July 15, 2014.
- Counting graphs in 3-manifolds (I), International Conference on Quantum Topology, Lake Bannoye, Magnitogorsk, Laboratory of Quantum Topology of Chelyabinsk State University, July 14, 2014.
- Second part of a talk at ENSIMAG, Grenoble, for Filles et maths December 11, 2013.
- Images shown after a talk at the La Mure highschool, November 2010.
- On the Pierre Vogel algebra of Jacobi diagrams, IHP Paris, October 2010.
- Chern-Simons Gauge Theory: 20 years after, Bonn, August 2009.
-
Graphic Surgery Formulae for finite type invariants of 3-manifolds, CIRM, June 2007.