Arthur Bartels

Mathematical Physics · 2001–2016

A researcher in the Science corpus: 11 papers; trusts 21 researchers and is trusted by 17 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 75 citations into it; #1,096 of 8,562 by trust here, #663 by citations
• Geometry and Topology — 62 citations into it; #934 of 7,422 by trust here, #615 by citations
• Algebra and Number Theory — 21 citations into it; #1,197 of 2,864 by trust here, #1,608 by citations
• Applied Mathematics — 14 citations into it
• Discrete Mathematics and Combinatorics — 6 citations into it; #1,737 of 2,017 by trust here, #1,251 by citations

Whom Arthur Bartels trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. W. Lück
2. H. Reich
3. Christian Wegner
4. N. Higson
5. Igor Mineyev
6. A. Kuku
7. U. Hamenstaedt
8. Z. Sela
9. M. Puschnigg
10. G. Skandalis

Who trusts Arthur Bartels overall

1. W. Lück
2. Christian Wegner
3. H. Reich
4. Holger Kammeyer
5. E. Guentner
6. Ilan Hirshberg
7. G'abor Szab'o
8. Giles Gardam
9. F. Thomas Farrell
10. Guoliang Yu

Papers from Arthur Bartels's perspective

Ordered by how strongly the researchers Arthur Bartels trusts endorse each paper. Same corpus, a different order for every researcher.

1. The Baum-Connes conjecture for hyperbolic groups
2. Classifying Space for Proper Actions and K-Theory of Group C*-algebras
3. The Kadison-Kaplansky conjecture for word-hyperbolic groups
4. Computations of K- and L-Theory of Cocompact Planar Groups
5. Bivariant K-theory and the Novikov conjecture
6. On sofic groups
7. The domino problem for hyperbolic groups
8. On the Farrell–Jones Conjecture and its applications
9. Coefficients for the Farrell¿Jones Conjecture
10. The relation between the Baum-Connes Conjecture and the Trace Conjecture

Their papers

• The Farrell–Jones Conjecture for mapping class groups (2016) — 52 citations
• The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups (2011) — 74 citations
• The Borel Conjecture for hyperbolic and CAT(0)-groups (2009) — 215 citations
• On the Farrell–Jones Conjecture and its applications (2007) — 76 citations
• The K-theoretic Farrell–Jones conjecture for hyperbolic groups (2007) — 157 citations
• Equivariant covers for hyperbolic groups (2006) — 51 citations
• Coefficients for the Farrell¿Jones Conjecture (2005) — 65 citations
• Isomorphism Conjecture for homotopy K-theory and groups acting on trees (2004) — 57 citations
• Squeezing and Higher Algebraic K-Theory (2003) — 57 citations
• On the domain of the assembly map in algebraic k-theory (2003) — 63 citations
• On the Isomorphism Conjecture in algebraic K -theory (2001) — 68 citations