scholarly journals Totally symmetric self-complementary plane partitions and the quantum Knizhnik–Zamolodchikov equation: a conjecture

2006 ◽  
Vol 2006 (09) ◽  
pp. P09008-P09008 ◽  
Author(s):  
P Di Francesco
Keyword(s):  
Plane Partitions ◽  
Zamolodchikov Equation

scholarly journals On the Doubly Refined Enumeration of Alternating Sign Matrices and Totally Symmetric Self - Complementary Plane Partitions

10.37236/805 ◽  
2008 ◽  
Vol 15 (1) ◽  
Author(s):  
Tiago Fonseca ◽  
Paul Zinn-Justin
Keyword(s):  
Alternating Sign Matrices ◽  
Plane Partitions ◽  
Zamolodchikov Equation ◽  
Integral Formulae

We prove the equality of doubly refined enumerations of Alternating Sign Matrices and of Totally Symmetric Self-Complementary Plane Partitions using integral formulae originating from certain solutions of the quantum Knizhnik–Zamolodchikov equation.

scholarly journals Plane partitions of shifted double staircase shape

2021 ◽  
Vol 183 ◽  
pp. 105486
Author(s):  
Sam Hopkins ◽  
Tri Lai
Keyword(s):  
Plane Partitions

scholarly journals Resonance in orbits of plane partitions and increasing tableaux

2017 ◽  
Vol 148 ◽  
pp. 244-274 ◽  
Author(s):  
Kevin Dilks ◽  
Oliver Pechenik ◽  
Jessica Striker
Keyword(s):  
Plane Partitions

scholarly journals Notes on plane partitions. II

1968 ◽  
Vol 4 (1) ◽  
pp. 81-99 ◽  
Author(s):  
Basil Gordon ◽  
Lorne Houten
Keyword(s):  
Plane Partitions

scholarly journals Kontsevich’s integral for the Kauffman polynomial

1996 ◽  
Vol 142 ◽  
pp. 39-65 ◽  
Author(s):  
Thang Tu Quoc Le ◽  
Jun Murakami
Keyword(s):  
Finite Type ◽  
Knot Invariants ◽  
Chord Diagrams ◽  
Knot Invariant ◽  
Kauffman Polynomial ◽  
Zamolodchikov Equation

Kontsevich’s integral is a knot invariant which contains in itself all knot invariants of finite type, or Vassiliev’s invariants. The value of this integral lies in an algebra A0, spanned by chord diagrams, subject to relations corresponding to the flatness of the Knizhnik-Zamolodchikov equation, or the so called infinitesimal pure braid relations [11].

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