326 citations
- Max Planck SocietyDE123 papers
- Max Planck Institute for Mathematics in the SciencesDE30 papers
- Capital Normal UniversityCN5 papers
- Northwestern UniversityUS5 papers
- University of BonnDE5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Fudan UniversityCN4 papers
- Collège de FranceFR3 papers
- California Institute of TechnologyUS2 papers
- ETH ZurichCH2 papers
- King's College LondonGB2 papers
- Leibniz Institute for Solid State and Materials ResearchDE2 papers
26 papers · 1 filter
What is the higher dimensional infinitesimal groupoid of a manifold?
Dennis Borisov
The construction (by Kapranov) of the space of infinitesimal paths on a manifold is extended to include higher dimensional infinitesimal objects, encoding contractions of infinites…
Error-correcting codes and phase transitions
Yuri I. Manin, Matilde Marcolli
The theory of error-correcting codes is concerned with constructing codes that optimize simultaneously transmission rate and relative minimum distance. These conflicting requiremen…
On rational functions orthogonal to all powers of a given rational function on a curve
F. Pakovich
In this paper we study the generating function f(t) for the sequence of the moments \int_γP^i(z)q(z)d z, i\geq 0, where P(z),q(z) are rational functions of one complex variable and…
Free Products of Higher Operad Algebras
Mark Weber
One of the open problems in higher category theory is the systematic construction of the higher dimensional analogues of the Gray tensor product of 2-categories. In this paper we c…
Mapping F_1-land:An overview of geometries over the field with one element
Javier López Peña, Oliver Lorscheid
This paper gives an overview of the various approaches towards F_1-geometry. In a first part, we review all known theories in literature so far, which are: Deitmar's F_1-schemes, T…
Extensions of associative algebras
Alice Fialowski, Michael Penkava
In this paper, we give a purely cohomological interpretation of the extension problem for associative algebras; that is the problem of extending an associative algebra by another a…