39 citations · 49 across the 11 of their papers we have counts for
11 papers
Weak in the boundary: How weak SPT phases spoil anomaly matching
Daniel Sheinbaum, Omar Antolín Camarena
We show how weak symmetry protected topological (SPT) phases on systems with a boundary are not in 1-to-1 correspondence with weak SPT phases on fully periodic systems, breaking th…
Weak topological phases in the presence of interactions
Omar Antolín Camarena, Arun Debray, Cameron Krulewski +3
We study weak symmetry-protected topological phases (SPTs) in the presence of short-range interactions. By comparing homotopical free and interacting classifications of these SPTs,…
A Center Transversal Theorem for mass assignments
Omar Antolín Camarena, Jaime Calles Loperena
In this paper, based on the ideas of Blagojević, Karasev & Magazinov, we consider an extension of the center transversal theorem to mass assignments with an improved Rado depth. In…
Homotopy type of the independence complex of some categorical products of graphs
Omar Antolín Camarena, Andrés Carnero Bravo
It was conjectured by Goyal, Shukla and Singh that the independence complex of the categorical product has the homotopy type of a wedge of s…
Crystallographic Interacting Topological Phases and Equivariant Cohomology: To assume or not to assume
Daniel Sheinbaum, Omar Antolín Camarena
For symmorphic crystalline interacting gapped systems we derive a classification under adiabatic evolution. This classification is complete for non-degenerate ground states. For th…
The mod 2 homology of free spectral Lie algebras
Omar Antolín Camarena
The Goodwillie derivatives of the identity functor on pointed spaces form an operad in spectra. Adapting a definition of Behrens, we introduce mod 2 homology operations for algebra…
Topology of Fermi Surfaces and anomaly inflows
Alejandro Adem, Omar Antolín Camarena, Gordon W. Semenoff +1
We derive a rigorous classification of topologically stable Fermi surfaces of non-interacting, discrete translation-invariant systems from electronic band theory, adiabatic evoluti…
Corrigendum to "Groupoids, the Phragmen-Brouwer Property, and the Jordan Curve Theorem", J. Homotopy and Related Structures 1 (2006) 175-183
Ronald Brown, Omar Antolín Camarena
Omar Antol{\'ı}n Camarena pointed out a gap in the proofs in \cite{Brown15,BrownJordan} of a condition for the Phragmen--Brouwer Property not to hold; this note gives the correctio…
A Whirlwind Tour of the World of -categories
Omar Antolín Camarena
This introduction to higher category theory is intended to a give the reader an intuition for what -categories are, when they are an appropriate tool, how they fit into…
Positive graphs
Omar Antolín Camarena, Endre Csóka, Tamás Hubai +2
We study "positive" graphs that have a nonnegative homomorphism number into every edge-weighted graph (where the edgeweights may be negative). We conjecture that all positive graph…
Nilspaces, nilmanifolds and their morphisms
Omar Antolin Camarena, Balazs Szegedy
Recent developments in ergodic theory, additive combinatorics, higher order Fourier analysis and number theory give a central role to a class of algebraic structures called nilmani…