The Hall algebras of annuli

2021 ◽  
Vol 28 (1) ◽  
pp. 25-63
Author(s):  
Benjamin Cooper ◽  
Peter Samuelson
Keyword(s):  
Hall Algebras

scholarly journals An introduction to motivic Hall algebras

2012 ◽  
Vol 229 (1) ◽  
pp. 102-138 ◽  
Author(s):  
Tom Bridgeland
Keyword(s):  
Hall Algebras

scholarly journals Double Hall algebras and derived equivalences

2010 ◽  
Vol 224 (3) ◽  
pp. 1097-1120 ◽  
Author(s):  
Tim Cramer
Keyword(s):  
Hall Algebras ◽  
Derived Equivalences

scholarly journals Hall algebras and quantum Frobenius

2010 ◽  
Vol 154 (1) ◽  
pp. 181-206 ◽  
Author(s):  
Kevin Mcgerty
Keyword(s):  
Hall Algebras

scholarly journals Semistable Chow–Hall algebras of quivers and quantized Donaldson–Thomas invariants

2018 ◽  
Vol 12 (5) ◽  
pp. 1001-1025 ◽  
Author(s):  
Hans Franzen ◽  
Markus Reineke
Keyword(s):  
Hall Algebras

Gröbner-Shirshov basis for degenerate Ringel-Hall algebras of type F 4

2016 ◽  
Vol 37 (2) ◽  
pp. 199-210
Author(s):  
Zhenzhen Gao ◽  
Abdukadir Obul
Keyword(s):  
Hall Algebras

Ringel-Hall algebras

2008 ◽  
pp. 437-465
Author(s):  
Bangming Deng ◽  
Jie Du ◽  
Brian Parshall ◽  
Jianpan Wang
Keyword(s):  
Hall Algebras

scholarly journals Donaldson–Thomas invariants and flops

2016 ◽  
Vol 2016 (716) ◽  
Author(s):  
John Calabrese
Keyword(s):  
Coherent Sheaves ◽  
Hall Algebras

AbstractWe prove a comparison formula for the Donaldson–Thomas curve-counting invariants of two smooth and projective Calabi–Yau threefolds related by a flop. By results of Bridgeland any two such varieties are derived equivalent. Furthermore there exist pairs of categories of perverse coherent sheaves on both sides which are swapped by this equivalence. Using the theory developed by Joyce we construct the motivic Hall algebras of these categories. These algebras provide a bridge relating the invariants on both sides of the flop.

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