Speciality:
01.01.04 (Geometry and topology)
Birth date:
23.08.1957
E-mail: ,
Keywords: surgery on manifolds,
surgery obstruction groups,
splitting problem,
classification of manifolds,
L-theory? graphs,
digraphs,
path homology.
UDC: 512, 513.8, 513.83, 514, 515.1, 515.14, 515.16, 515.163, 515.164.22, 515.164, 519.17 MSC: 18F25, 19J25, 19G24, 55U35, 57R10, 57R67, 57Q10
Subject:
Flgebraic topology, surgery theory, L-theory, graph theory.
Main publications:
Yu. V. Muranov, A. F. Kharshiladze, Browder–Livesay groups of abelian 2-groups, Mat. Sbornik, 181 (1990), 1061–1098; English transl. in Math. USSR Sb. 70 (1991).
Yu. V. Muranov, Obstruction groups to splitting and quadratic extensions of antistructures, Izv. RAN, Ser. mat., 59 (1995), no. 6, 107–132; English transl. in Izvestija:
Math. 59:6, 1207–1232.
Yu. V. Muranov, The splitting problem, Trudy Matem. Inst. Steklova, 212 (1996), 123–146; English transl. in Proc. of the Steklov Inst. of Math. 1996, V. 212.
A. Cavicchioli, Yu. V. Muranov, D. Repovš, Algebraic properties of decorated splitting obstruction groups, Bollettino delUnione Matematica Italiana, 4-B, 2001, 647–675.
A. Cavicchioli, Yu. V. Muranov, F. Spaggiari, Relative groups in surgery theory, Bull. Belg. Math. Soc. Simon Stevin, 12 (2005), 109–135.
A. Cavicchioli, Yu. V. Muranov, F. Spaggiari, Mixed structures on a manifold with boundary, Glasgow Math. J., 48 (2006), 125–143.
A. Bak, Yu. V. Muranov, Normal invariants of manifold pairs and assembly maps, Matem. Sbornik, 197 (2006), no. 6, 3–24; English transl. in Sb.: Math., 197:6, 791–811.
Yu. V. Muranov, D. Repovš, Rolando Jimenez, Surgery spectral sequence and manifolds with filtration, Trudy MMO, 67 (2006), 294–325.
