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5 papers · 2 filters
A note on quantum 3-manifold invariants and hyperbolic volume
Efstratia Kalfagianni
We investigate the conjectural relations between the Reshetikhin-Turaev-Witten quantum SU(2) invariants and the volume of hyperbolic 3-manifolds. Given a finite set of sufficiently…
On Floer homology and the Berge conjecture on knots admitting lens space surgeries
Matthew Hedden
We complete the first step in a two-part program proposed by Baker, Grigsby, and the author to prove that Berge's construction of knots in the three-sphere which admit lens space s…
Seifert surfaces, Commutators and Vassiliev invariants
Efstratia Kalfagianni, Xiao-Song Lin
We show that the Vassiliev invariants of a knot K, are obstructions to finding a regular Seifert surface, S, whose complement looks "simple" (e.g. like the complement of a disc) to…
Mirror Duality in a Joyce Manifold
Selman Akbulut, Baris Efe, Sema Salur
Previously the two of the authors defined a notion of dual Calabi-Yau manifolds in a G_2 manifold, and described a process to obtain them. Here we apply this process to a compact G…
Surgery on nullhomologous tori and simply connected 4-manifolds with b^+=1
Ronald Fintushel, Ronald J. Stern
For 5 <= k <= 8 we show that the infinite family of exotic smooth structures on CP^2# k(-CP^2) can be achieved by 1/n - surgeries on a single embedded nullhomologous torus in a man…