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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,291 papers · 148 categories

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0111 · Apr 200819922001200920182026
6 results for Z3 x Z3-symmetric

The paper constructs and analyzes globally exceptional Z3 x Z3-symmetric spaces for specific Lie groups.

problem Understanding and constructing symmetric spaces for exceptional Lie groups.
method Introduced and used the concept of Γ-symmetric spaces, constructed automorphisms, and determined group structures.
result Explicit constructions and structures of exceptional Z3 x Z3-symmetric spaces for G2, F4, and E6.

We present an explicit algorithm for tessellating the algebraic surfaces (real 4-manifolds) F(n) embedded in CP3 defined by the equation z0^n + z1^n + z2^n + z3^n = 0 in the standard homogeneous coordinates [z0, z1, z2, z3], where n is any positive integer. Note that F(4) in particular is a K3 surface. Our tessellation…

2008-04-20abs ↗pdf ↗

The paper explores representations of specific knot groups and their properties.

problem Investigating representations of branched twist spins with a non-trivial center of order 2.
method Analyzes mSL2(Z3){ m SL}_2(\mathbb{Z}_3)-representations and dihedral group representations of branched twist spins.
result Provides sufficient conditions for the existence of mSL2(Z3){ m SL}_2(\mathbb{Z}_3)-representations and determines the number of dihedral group representations.

NeuRewriter learns to choose and rewrite heuristics in combinatorial problems.

problem Time-consuming tuning of heuristics in combinatorial optimization.
method NeuRewriter uses reinforcement learning to learn a policy for picking heuristics and rewriting solutions.
result NeuRewriter outperforms existing methods in various combinatorial tasks.

This note has an experimental nature and contains no new theorems. We introduce certain moves for classical knot diagrams that for all the very many examples we have tested them on give a monotonic complete simplification. A complete simplification of a knot diagram D is a sequence of moves that transform D into a diag…

2015-08-13abs ↗pdf ↗