Stavros Garoufalidis
- Chern-Simons theory, analytic continuation and arithmetic
2007/11/12 by Stavros Garoufalidis, Garoufalidis, Stavros · 5 citations
Mathematics · #57M25 #57N10 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)
- The Aarhus integral of rational homology 3-spheres I: A highly non trivial flat connection on S3
1997/06/04 by Dror Bar-Natan, Bar-Natan, Dror, Stavros Garoufalidis +5 · 2 citations
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Topological and Geometric Data Analysis
- Tree-level invariants of three-manifolds, Massey products and the Johnson homomorphism
1999/04/20 by Stavros Garoufalidis, Jerome Levine, Garoufalidis, Stavros +1 · 2 citations
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #math.GT #math.QA
- Bloch groups, algebraic K-theory, units, and Nahm's Conjecture
2017/12/13 by Frank Calegari, Stavros Garoufalidis, Calegari, Frank +3 · 3 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Number Theory (math.NT)
- On the characteristic and deformation varieties of a knot
2003/06/30 by Stavros Garoufalidis · 2 citations
Mathematics · #math.GT #math.QA #msc:57N10 #msc:57M25
- Resurgence of Faddeev's quantum dilogarithm
2020/08/28 by Stavros Garoufalidis, Rinat Kashaev, Garoufalidis, Stavros +1 · 3 citations
Mathematics · #Advanced Combinatorial Mathematics #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph)
- Wheels, Wheeling, and the Kontsevich Integral of the Unknot
1997/03/13 by Dror Bar-Natan, Bar-Natan, Dror, Stavros Garoufalidis +5 · 2 citations
Mathematics · #Geometric and Algebraic Topology #Algebraic structures and combinatorial models #Advanced Combinatorial Mathematics
- A construction of the graphic matroid from the lattice of integer flows
2016/11/19 by Zsuzsanna Dancso, Dancso, Zsuzsanna, Stavros Garoufalidis +1 · 2 citations
Computer Science · #Advanced Graph Theory Research #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Topological and Geometric Data Analysis
- The 3D-index and normal surfaces
2016/01/01 by Stavros Garoufalidis, Garoufalidis, Stavros, Craig D. Hodgson +7 · 2 citations
Mathematics · #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th)
- Values of zeta functions at negative integers, Dedekind sums and toric geometry
1997/05/23 by Stavros Garoufalidis, Garoufalidis, Stavros, James Pommersheim +1 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Quantum Algebra (math.QA)
- Does the Jones polynomial determine the signature of a knot?
2003/10/14 by Stavros Garoufalidis, Garoufalidis, Stavros · 2 citations
Mathematics · Medicine · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Orthopedic Surgery and Rehabilitation #math.GT
- The descendant colored Jones polynomials
2021/08/17 by Stavros Garoufalidis, Garoufalidis, Stavros, Rinat Kashaev +1 · 2 citations
Mathematics · Computer Science · #Geometric and Algebraic Topology #Advanced Combinatorial Mathematics #semigroups and automata theory
- Periods, the meromorphic 3D-index and the Turaev--Viro invariant
2022/09/06 by Stavros Garoufalidis, Campbell Wheeler, Garoufalidis, Stavros +1 · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Mathematical Dynamics and Fractals
- Twisting q-holonomic sequences by complex roots of unity
2012/01/16 by Stavros Garoufalidis, Christoph Koutschan, Garoufalidis, Stavros +1 · 1 citation
Mathematics · #Geometric and Algebraic Topology #Advanced Combinatorial Mathematics #Mathematical Dynamics and Fractals
- Asymptotics of Nahm sums at roots of unity
2018/12/18 by Stavros Garoufalidis, Don Zagier, Garoufalidis, Stavros +1 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Benford’s Law and Fraud Detection #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th)
- The ADO Invariants are a q-Holonomic Family
2020/05/17 by Jennifer Brown, Brown, Jennifer, Tudor Dimofte +5 · 1 citation
Mathematics · #57M25 #57M27 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA)
- Resurgence of Chern-Simons theory at the trivial flat connection
2021/11/08 by Stavros Garoufalidis, Garoufalidis, Stavros, Jie Gu +5 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph)
- Modular q-holonomic modules
2022/03/31 by Stavros Garoufalidis, Campbell Wheeler, Garoufalidis, Stavros +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons
- 1-loop equals torsion for fibered 3-manifolds
2023/04/02 by Stavros Garoufalidis, Dunfield, Nathan M., Garoufalidis, Stavros +2 · 1 citation
Computer Science · Mathematics · #57K31 #57K32 #Advanced Combinatorial Mathematics #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Topological and Geometric Data Analysis
- Quantum dilogarithms over local fields and invariants of 3-manifolds
2023/06/02 by Stavros Garoufalidis, Rinat Kashaev, Garoufalidis, Stavros +1 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Mathematical Dynamics and Fractals #Algebraic structures and combinatorial models