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Simple closed curves, non‐kernel homology and Magnus embedding
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We consider the subspace of the homology of a covering space spanned by lifts of simple closed curves. Our main result is the existence of unbranched covers of surfaces where this is a proper subspace. More generally, for a fixed finite solvable quotient of the fundamental group we exhibit a cover whose homology is not generated by the lifts ...
Adam Klukowski
wiley +1 more source
New quantum LDPC codes based on projective geometry. [PDF]
Sci RepTang C, Bai C, Feng Y.
europepmc +1 more source
Spectral Networks and Stability Conditions for Fukaya Categories with Coefficients. [PDF]
Commun Math PhysHaiden F, Katzarkov L, Simpson C.
europepmc +1 more source
Knot data analysis using multiscale Gauss link integral. [PDF]
Proc Natl Acad Sci U S AShen L +5 more
europepmc +1 more source
Identifying key genes in cancer networks using persistent homology. [PDF]
Sci RepRamos RH +3 more
europepmc +1 more source
Polynomial Regression on Lie Groups and Application to SE(3). [PDF]
Entropy (Basel)Aubray J, Nicol F.
europepmc +1 more source
Lie algebras of derivations and affine algebraic geometry over fields of characteristic 0
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Good and asymptotically good quantum codes derived from algebraic geometry
Quantum Information Processing, 2017In this paper, we construct several new families of quantum codes with good parameters. These new quantum codes are derived from (classical) t-point ($$t\ge 1$$t?1) algebraic geometry (AG) codes by applying the Calderbank---Shor---Steane (CSS) construction.
Francisco Revson Pereira +1 more
openaire +3 more sources