Volume 18, issue 2 (2014)

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Other MSP Journals
Grothendieck ring of semialgebraic formulas and motivic real Milnor fibers

Georges Comte and Goulwen Fichou

Geometry & Topology 18 (2014) 963–996
Bibliography
1 N A’Campo, La fonction zêta d'une monodromie, Comment. Math. Helv. 50 (1975) 233 MR0371889
2 V I Arnol’d, The index of a singular point of a vector field, the Petrovskiĭ–Oleĭnik inequalities, and mixed Hodge structures, Funkcional. Anal. i Priložen. 12 (1978) 1 MR0498592
3 J Bochnak, M Coste, M F Roy, Real algebraic geometry, Ergeb. Math. Grenzgeb. 36, Springer (1998) MR1659509
4 M Coste, Real algebraic sets, from: "Arc spaces and additive invariants in real algebraic and analytic geometry", Panor. Synthèses 24, Soc. Math. France (2007) 1 MR2409684
5 J Denef, F Loeser, Motivic Igusa zeta functions, J. Algebraic Geom. 7 (1998) 505 MR1618144
6 J Denef, F Loeser, Germs of arcs on singular algebraic varieties and motivic integration, Invent. Math. 135 (1999) 201 MR1664700
7 J Denef, F Loeser, Definable sets, motives and $p$–adic integrals, J. Amer. Math. Soc. 14 (2001) 429 MR1815218
8 J Denef, F Loeser, Lefschetz numbers of iterates of the monodromy and truncated arcs, Topology 41 (2002) 1031 MR1923998
9 L van den Dries, Tame topology and o–minimal structures, London Mathematical Society Lecture Note Series 248, Cambridge Univ. Press (1998) MR1633348
10 G Fichou, Motivic invariants of arc-symmetric sets and blow-Nash equivalence, Compos. Math. 141 (2005) 655 MR2135282
11 E Hrushovski, F Loeser, Monodromy and the Lefschetz fixed point formula, arXiv:1111.1954v1
12 M Kontsevich, String cohomology, Lecture at Orsay, Paris (1995)
13 K Kurdyka, Ensembles semi-algébriques symétriques par arcs, Math. Ann. 282 (1988) 445 MR967023
14 E Looijenga, Motivic measures, from: "Séminaire Bourbaki, $1999/2000$ (Exposé 874)", Astérisque 276, Soc. Math. France (2002) 267 MR1886763
15 C McCrory, A Parusiński, Virtual Betti numbers of real algebraic varieties, C. R. Math. Acad. Sci. Paris 336 (2003) 763 MR1989277
16 C McCrory, A Parusiński, The weight filtration for real algebraic varieties, from: "Topology of stratified spaces" (editors G Friedman, E Hunsicker, A Libgober, L Maxim), MSRI Publ. 58, Cambridge Univ. Press (2011) 121 MR2796410
17 R Quarez, Espace des germes d'arcs réels et série de Poincaré d'un ensemble semi-algébrique, Ann. Inst. Fourier (Grenoble) 51 (2001) 43 MR1821067
18 C T C Wall, Topological invariance of the Milnor number mod $2$, Topology 22 (1983) 345 MR710107