M. Crainic

Mathematical Physics · 2000–2012

A researcher in the Science corpus: 14 papers; trusts 20 researchers and is trusted by 35 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 46 citations into it; #311 of 8,562 by trust here, #347 by citations
• Algebra and Number Theory — 45 citations into it; #69 of 2,864 by trust here, #85 by citations
• Geometry and Topology — 31 citations into it; #478 of 7,422 by trust here, #540 by citations
• Statistical and Nonlinear Physics — 12 citations into it
• Pathology and Forensic Medicine — 8 citations into it

Whom M. Crainic trusts overall

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

1. Rui Loja Fernandes
2. K. Mackenzie
3. V. Ginzburg
4. Ieke Moerdijk
5. Victor Nistor
6. C. A. Abad
7. K. Behrend
8. H. Bursztyn
9. M. Gualtieri
10. Alberto S. Cattaneo

Who trusts M. Crainic overall

1. R. Mehta
2. C. A. Abad
3. A. Gracia-Saz
4. H. Bursztyn
5. Rui Loja Fernandes
6. Markus J. Pflaum
7. Matías L. del Hoyo
8. Anthony D. Blaom
9. A. Henriques
10. Charles-Michel Marle

Papers from M. Crainic's perspective

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

1. Integrability of Lie brackets
2. General theory of lie groupoids and lie algebroids
3. Introduction to Foliations and Lie Groupoids: Prerequisites
4. Integration of twisted Dirac brackets
5. Poisson sigma models and symplectic groupoids
6. Lie Groups
7. Representations up to homotopy of Lie algebroids
8. On the de Rham cohomology of differential and algebraic stacks
9. Global Analysis on Foliated Spaces: Transverse Measures
10. MODEL CATEGORIES (Mathematical Surveys and Monographs 63)

Their papers

• Multiplicative forms and Spencer operators (2012) — 69 citations
• On the linearization theorem for proper Lie groupoids (2011) — 54 citations
• Representations up to homotopy and Bott's spectral sequence for Lie groupoids (2009) — 85 citations
• Representations up to homotopy of Lie algebroids (2009) — 148 citations
• The Weil algebra and the Van Est isomorphism (2009) — 63 citations
• Lectures on integrability of Lie brackets (2006) — 131 citations
• On the perturbation lemma, and deformations (2004) — 125 citations
• Integration of twisted Dirac brackets (2003) — 185 citations
• Cyclic cohomology of Hopf algebras (2002) — 67 citations
• Integrability of Poisson Brackets (2002) — 56 citations
• Integrability of Lie brackets (2001) — 533 citations
• Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes (2000) — 255 citations
• Čech-De Rham theory for leaf spaces of foliations (2000) — 65 citations
• Foliation Groupoids and Their Cyclic Homology (2000) — 80 citations