369 citations
- University of ArizonaUS38 papers
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- Fermi National Accelerator LaboratoryUS36 papers
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- University of MichiganUS35 papers
- Brookhaven National LaboratoryUS34 papers
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- Stony Brook UniversityUS34 papers
4 papers · 1 filter
The Dimension of the Torelli group
Mladen Bestvina, Kai-Uwe Bux, Dan Margalit
We prove that the cohomological dimension of the Torelli group for a closed connected orientable surface of genus g at least 2 is equal to 3g-5. This answers a question of Mess, wh…
A survey of Bott-Taubes integration
Ismar Volic
It is well known that certain combinations of configuration space integrals defined by Bott and Taubes produce cohomology classes of spaces of knots. The literature surrounding thi…
Configuration space integrals and Taylor towers for spaces of knots
Ismar Volic
We describe Taylor towers for spaces of knots arising from Goodwillie-Weiss calculus of the embedding functor and extend the configuration space integrals of Bott and Taubes from s…
Dwyer's filtration and topology of 4-manifolds
Vyacheslav Krushkal
Topological 4-dimensional surgery is conjectured to fail, in general, for free fundamental groups. M. Freedman and P. Teichner have shown that surgery problems with an arbitrary fu…