By Selman Akbulut (auth.), Ilia Itenberg, Burglind Jöricke, Mikael Passare (eds.)
The contributions during this volume—dedicated to the paintings and mathematical pursuits of Oleg Viro at the party of his sixtieth birthday—are invited papers from the Marcus Wallenberg symposium and concentrate on learn subject matters that bridge the space between research, geometry, and topology. The encounters between those 3 fields are frequent and sometimes supply impetus for significant breakthroughs in applications.
Topics coated comprise new advancements in low-dimensional topology relating to invariants of hyperlinks and 3- and 4-dimensional manifolds and the hot advances made in algebraic, advanced, symplectic, and tropical geometry.
This assortment is meant for graduate scholars and researchers in research, geometry, and topology, in particular these whose quarter of research applies to 2 or extra of those fields.
Read Online or Download Perspectives in Analysis, Geometry, and Topology: On the Occasion of the 60th Birthday of Oleg Viro PDF
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Extra info for Perspectives in Analysis, Geometry, and Topology: On the Occasion of the 60th Birthday of Oleg Viro
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S. Akbulut, On 2-dimensional homology classes of 4-manifolds, Math. Proc. Camb. Phil. Soc. 82 (1977), 99–106 S. Akbulut, A fake cusp and a fishtail, Turkish Jour. of Math. GT/9904058. S. Akbulut and S. Durusoy, An involution acting nontrivially on Heegaard–Floer homology, in Geometry and Topology of Manifolds Fields Inst. Commun. 47, , pp. 1–9. Amer. Math. , Providence, RI, 2005. S. Akbulut and C. Karakurt, Every 4-manifold is BLF, Jour. 2297. S. Akbulut and R. Matveyev, A convex decomposition theorem for 4-manifolds, Internat.
In particular, as Q-homology chains, ∂ ( 1r Σ ) = K. We now define the rational linking number of another oriented knot K with K (and Seifert surface Σ ) to be 1 lkQ (K, K ) = Σ · K , r where · denotes the algebraic intersection of Σ and K . It is not hard to check that lkQ is well defined given the choice of [Σ ] ∈ H2 (X(K), ∂ X(K)). Choosing another rational Seifert surface for K representing a different relative second homology class in X(K) may change this rational linking number by a multiple of 1r .
S. Akbulut, An exotic 4-manifold, Journ. of Diff. Geom. 33 (1991), 357–361. S. Akbulut, Constructing a fake 4-manifold by Gluck construction to a standard 4-manifold, Topology 27:2 (1988), 239–243. S. Akbulut, On 2-dimensional homology classes of 4-manifolds, Math. Proc. Camb. Phil. Soc. 82 (1977), 99–106 S. Akbulut, A fake cusp and a fishtail, Turkish Jour. of Math. GT/9904058. S. Akbulut and S. Durusoy, An involution acting nontrivially on Heegaard–Floer homology, in Geometry and Topology of Manifolds Fields Inst.