R. Kaufmann

发表

C. Berger, R. Kaufmann, 2017, 1710.09438.

Three Hopf algebras from number theory, physics & topology, and their common background I: operadic & simplicial aspects

R. Kaufmann, Imma G'alvez-Carrillo, A. Tonks, 2016, Communications in Number Theory and Physics.

A proof of a cyclic version of Deligne’s conjecture via Cacti

R. Kaufmann, 2004, math/0403340.

THE DRINFEL'D DOUBLE AND TWISTING IN STRINGY ORBIFOLD THEORY

R. Kaufmann, D. Pham, 2007, 0708.4006.

Algebraic operations in geometry, topology and physics.

R. Kaufmann, 2015 .

The tensor product in the theory of Frobenius manifolds.

R. Kaufmann, 1998, math/9806082.

The intersection form in the cohomology of the moduli space of genus 0 $n$-pointed curves $H^*(\overline{M}_{0,n})$ and the explicit K\

R. Kaufmann, 1996, alg-geom/9608026.

Pathlike Co/Bialgebras and their Antipodes with Applications to Bi- and Hopf Algebras Appearing in Topology, Number Theory and Physics

R. Kaufmann, Y. Mo, 2021, Symmetry, Integrability and Geometry: Methods and Applications.

Discrete torsion, symmetric products and the Hubert scheme

R. Kaufmann, 2006, math/0610083.

Second Quantized Frobenius Algebras

R. Kaufmann, 2002, math/0206137.

Communications in Mathematical Physics Second Quantized Frobenius Algebras

R. Kaufmann, 2004 .

The Stiefel--Whitney theory of topological insulators

Dan Li, R. Kaufmann, B. Wehefritz-Kaufmann, 2016, 1604.02792.

Closed/open string diagrammatics

R. Kaufmann, R. Penner, 2006, math/0603485.

On CY-LG correspondence for (0, 2) toric models

R. Kaufmann, L. Borisov, 2011, 1102.5444.

Orbifolding Frobenius Algebras

R. Kaufmann, 2001, math/0107163.

Plethysm Products, Element and Plus Constructions

R. Kaufmann, Michael Monaco, 2022, 2211.11946.

Discrete Groups and Geometry: On the rank of NEC groups

R. Kaufmann, H. Zieschang, 1992 .

A combinatorial ${E_\infty}$-algebra structure on cubical cochains and the Cartan-Serre map

R. Kaufmann, A. Medina-Mardones, 2021, 2107.00669.

Notes on topological insulators

Dan Li, R. Kaufmann, B. Wehefritz-Kaufmann, 2015, 1501.02874.

Three Hopf algebras from number theory, physics & topology, and their common background II: general categorical formulation

R. Kaufmann, Imma G'alvez-Carrillo, A. Tonks, 2020, 2001.08722.

Feynman Categories

Benjamin C. Ward, R. Kaufmann, 2013, Astérisque.

Feynman categories and representation theory

R. Kaufmann, 2019, 1911.10169.

Singularities, swallowtails and Dirac points. An analysis for families of Hamiltonians and applications to wire networks, especially the Gyroid

R. Kaufmann, S. Khlebnikov, B. Wehefritz-Kaufmann, 2012, 1208.3262.

On spineless cacti, Deligne's conjecture and Connes-Kreimer's Hopf algebra

R. Kaufmann, 2003, math/0308005.

Arc Operads and Arc Algebras

M. Livernet, R. Kaufmann, R. Penner, 2002, math/0209132.

Topological insulators and K-theory

Dan Li, R. Kaufmann, B. Wehefritz-Kaufmann, 2015, 1510.08001.

PATH SPACE DECOMPOSITIONS FOR THE VIRASORO ALGEBRA AND ITS VERMA MODULES

R. Kaufmann, 1994, hep-th/9405041.

Cochain level May–Steenrod operations

R. Kaufmann, A. Medina-Mardones, 2020, Forum Mathematicum.

Chain level Steenrod operations

R. Kaufmann, A. Medina-Mardones, 2020 .

Permutohedral structures on E 2 E_{2} -operads

R. Kaufmann, Yongheng Zhang, 2016, 1602.08247.

Dimension vs. genus: A surface realization of the little k-cubes and an $E_{∞}$ operad

R. Kaufmann, 2009 .

Graphs, Strings, and Actions

R. Kaufmann, 2009 .

Dimension vs. Genus: A surface realization of the little k-cubes and an E_{\infty}-operad

R. Kaufmann, 2008, 0801.0532.

A detailed look on actions on Hochschild complexes especially the degree $1$ co-product and actions on loop spaces

R. Kaufmann, 2018, 1807.10534.

Arc geometry and algebra: foliations, moduli spaces, string topology and field theory

R. Kaufmann, 2014 .

The odd origin of Gerstenhaber, BV and the master equation

Benjamin C. Ward, R. Kaufmann, J. Zúñiga, 2012 .

The odd origin of Gerstenhaber brackets, Batalin-Vilkovisky operators, and master equations

Benjamin C. Ward, R. Kaufmann, J. Zúñiga, 2012, 1208.5543.

Associahedra, cyclohedra and a topological solution to the A∞ Deligne conjecture

R. Kaufmann, Rachel Schwell, 2010 .

Associahedra, Cyclohedra and a Topological solution to the A_{\infty}--Deligne conjecture

R. Kaufmann, Rachel Schwell, 2007, 0710.3967.

Moduli space actions on the Hochschild co-chains of a Frobenius algebra II: correlators

R. Kaufmann, 2006, math/0606065.

Moduli space actions on the Hochschild co-chains of a Frobenius algebra I: cell operads

R. Kaufmann, 2006, math/0606064.

On several varieties of cacti and their relations

R. Kaufmann, 2002, math/0209131.

A proof of a cyclic version of Deligne’s conjecture via Cacti

R. Kaufmann, 2004, math/0403340.

Operads, moduli of surfaces and quantum algebras

R. Kaufmann, 2004 .

Trees, graphs and aggregates: a categorical perspective on combinatorial surface topology, geometry, and algebra

Clemens Berger, Ralph M. Kaufmann, C. Berger, 2022, 2201.10537.

Lectures on Feynman Categories

R. Kaufmann, 2017, 1702.06843.

Decorated Feynman Categories

R. Kaufmann, Jason M. Lucas, 2016, 1602.00823.

Open/closed string topology and moduli space actions via open/closed Hochschild actions

R. Kaufmann, 2009, 0910.5929.

Noncommutative aspects of open/closed strings via foliations

R. Kaufmann, 2008, 0804.0608.

Noncommutative topological Z 2 invariant

Dan Li, R. Kaufmann, B. Wehefritz-Kaufmann, 2018 .

Noncommutative topological $\mathbb{Z}_2$ invariant

Dan Li, R. Kaufmann, B. Wehefritz-Kaufmann, 2016, 1605.09470.

Projective representations from quantum enhanced graph symmetries

R. Kaufmann, S. Khlebnikov, B. Wehefritz-Kaufmann, 2015 .

Re-Gauging Groupoid, Symmetries and Degeneracies for Graph Hamiltonians and Applications to the Gyroid Wire Network

R. Kaufmann, S. Khlebnikov, B. Wehefritz-Kaufmann, 2012, 1208.3266.

Stringy K-theory and the Chern character

Tyler Jarvis, R. Kaufmann, T. Kimura, 2005, math/0502280.

The intersection form in the cohomology of the moduli space of genus 0 $n$-pointed curves $H^*(\overline{M}_{0,n})$ and the explicit K\

R. Kaufmann, 1996, alg-geom/9608026.

Singularities with Symmetries, orbifold Frobenius algebras and Mirror Symmetry

R. Kaufmann, 2003, math/0312417.

The tensor product in the theory of Frobenius manifolds.

R. Kaufmann, 1998, math/9806082.

Pointed admissible G-covers and G-equivariant cohomological field theories

Tyler Jarvis, R. Kaufmann, T. Kimura, 2003, Compositio Mathematica.

Orbifold Frobenius algebras, cobordisms and monodromies

R. Kaufmann, 2002 .

Global Stringy Orbifold Cohomology, K-Theory and de Rham Theory

R. Kaufmann, 2010 .

A Note on the Two Approaches to Stringy Functors for Orbifolds

R. Kaufmann, 2007, math/0703209.

The algebra of discrete torsion

R. Kaufmann, 2002, math/0208081.

The geometry of the double gyroid wire network: quantum and classical

R. Kaufmann, S. Khlebnikov, B. Wehefritz-Kaufmann, 2010, 1010.1709.

Geometry of the momentum space: From wire networks to quivers and monopoles

R. Kaufmann, S. Khlebnikov, B. Wehefritz-Kaufmann, 2013, 1302.1260.

Local models and global constraints for degeneracies and band crossings

R. Kaufmann, S. Khlebnikov, B. Wehefritz-Kaufmann, 2018, Journal of Geometry and Physics.