Paul Martin's Leeds Graduate Research Homepage

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Grad School Research: Random (!) LIBRARY of links

Just some links to documents that came up in trying to find simple explanations for non-simple phenomena!...
...Probably should be categorised in some way... Most come under the heading of Algebra/Geometry interface.

Motion groupoids:
- Prieve: Advanced fluid mechanics with vector field theory
Partition category:
- Borceux and Stubbe: Short Intro to Enriched Categories
- Kullman: Structures and Congruences (a nice overview of the `Bourbaki programme', sort of ; and quotients)
- Joyal - Street: Geometry of tensor calculus I
- Pearce-Crump: ...and Neural Networks
Braid representations:
- Kauffman's link to Stillwell on WIRTINGER PRESENTATION
- Knudsen: Configuration spaces
- Sagan: Combinatorial proofs of hook generating functions ... plane partitions (-this definitely links in multiple sections!)
E L Green on Graphs with relations, coverings and group graded algebras, TrAMS ... (1983)
Benoit Fresse - Homotopy of Operads
General:
- Rao: Products of sets
- mystery doc!
- Ring that is right artinian but not left...
- Sobocinski: Graphical Linear Algebra (some interesting introductory notes around categories and graphical calculus)
- Gardner - Semisimple rings
- Boalch: Quivers and ... (weirdness)
- Haegman--Verstraete: Diagonalising transfer matrices ...(by tensor network hocus pocus)
Blob categories:
- Brieskorn--Saito (the translation by Arun Ram et al)
- Allcock: Braid pictures for Artin groups
- Sergiescu - Planar graphs and presentations of braid groups (and other goodies!)
- Cameron et al: Signed graphs (1994)
- Kaye: 2D Orbifolds
- Brzezinski--Katriel: TLM algebras
- Hogankamp--Rose--Wedrich: A Kirby color for Khovanov homology
Bessenrodt--Bowman: Symmetric squares etc
Quantum information:
Integer partitions etc:
Z(N) spin systems:
- Alcaraz: The critical behaviour of self-dual Z(N) spin systems
Molev et al: Yangians
Molev: Yangians