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most citedTowards physically motivated proofs of the Poincare' and geometrization conjectures

37 citations · 121 across the 16 of their papers we have counts for

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hep-th2015★ 3 cited

Black magic session of concordance: Regge mass spectrum from Casson's invariant

Arkady L. Kholodenko

Recently, there had been a great deal of interest in obtaining and describing of all kinds of knots in links in hydrodynamics, electrodynamics, non Abelian gauge field theories and…

hep-th2008★ 5 cited

Veneziano amplitudes, spin chains and Abelian reduction of QCD

Arkady L. Kholodenko

Although QCD can be treated perturbatively in the high energy limit, lower energies requre uses of nonperturbative methods such as ADS/CFT and/or Abelian reduction.These methods ar…

hep-th2007★ 37 cited

Towards physically motivated proofs of the Poincare' and geometrization conjectures

Arkady L. Kholodenko

Although the Poincare' and the geometrization conjectures were recently proved by Perelman, the proof relies heavily on properties of the Ricci flow previously investigated in grea…

hep-th2006★ 6 cited

Heisenberg Honeycombs Solve Veneziano Puzzle

Arkady L. Kholodenko

In this paper we reformulate some results obtained by Heisenberg into modern mathematical language of honeycombs. This language was developed in connection with complete solution o…

hep-th2003

Designing new apartment buildings for strings and conformal field theories. First steps

Arkady L. Kholodenko

The concepts of apartments and buildings were suggested by Tits for description of the Weyl-Coxeter reflection groups. We use these and many additional facts from the theory of ref…

hep-th2002★ 9 cited

"New" Veneziano amplitudes from "old" Fermat (hyper) surfaces

Arkady L. Kholodenko

The history of discovery of bosonic string theory is well documented. This theory evolved as an attempt to find a multidimensional analogue of Euler's beta function. Such an analog…