2016 MATRIX Annals

The 2016 MATRIX Annals, the first book in the MATRIX Book Series, documents scientific activities at MATRIX in its first year. Please find below pre-publication versions of the articles in the book, as well as links to non-printable official versions. The 2016 MATRIX Annals is indexed by MathSciNet.

Preface

Refereed Articles

Higher Structures in Geometry and Physics

Christopher L. Rogers.
Homotopical properties of the simplicial Maurer-Cartan functor.
doi:10.1007/978-3-319-72299-3_1.

Clark Barwick, Jay Shah.
Fibrations in ∞-category theory.
doi:10.1007/978-3-319-72299-3_2.

David Michael Roberts, Raymond F. Vozzo.
The smooth Hom-stack of an orbifold.
doi:10.1007/978-3-319-72299-3_3.

Emily Riehl.
Complicial sets, an overture.
doi:10.1007/978-3-319-72299-3_4.

Gabriel C. Drummond-Cole.
A non-crossing word cooperad for free homotopy probability theory.
doi:10.1007/978-3-319-72299-3_5.

Winter of Disconnectedness

Helge Glöckner.
Endomorphisms of Lie groups over local fields.
doi:10.1007/978-3-319-72299-3_6.

Approximation and Optimisation

Vera Roshchina, Tian Sang, David Yost.
Compact convex sets with prescribed facial dimensions.
doi:10.1007/978-3-319-72299-3_7.

Nadezda Sukhorukova, Julien Ugon, David Yost.
Chebyshev multivariate polynomial approximation: alternance interpretation.
doi:10.1007/978-3-319-72299-3_8.

Refining C* Algebraic Invariants for Dynamics using KK-Theory

Magnus Goffeng, Bram Mesland.
Spectral triples on ON.
doi:10.1007/978-3-319-72299-3_9.

Chris Bourne, Hermann Schulz-Baldes.
Application of semifinite index theory to weak topological phases.
doi:10.1007/978-3-319-72299-3_10.

Søren Eilers, Gunnar Restorff, Efren Ruiz, Adam P. W. Sørensen.
Filtered K-theory for graph algebras.
doi:10.1007/978-3-319-72299-3_11.

Francesca Arici.
Gysin exact sequences for quantum weighted lens spaces.
doi:10.1007/978-3-319-72299-3_12.

Robin J Deeley.
A signed version of Putnam’s homology theory: Lefschetz and zeta functions.
doi:10.1007/978-3-319-72299-3_13.

Interactions between Topological Recursion, Modularity, Quantum Invariants and Low-dimensional Topology

Rinat Kashaev.
A simple model of 4d-TQFT.
doi:10.1007/978-3-319-72299-3_14.

Joan E. Licata, Daniel V. Mathews.
Morse structures on partial open books with extendable monodromy.
doi:10.1007/978-3-319-72299-3_15.

George Shabat.
Counting Belyi pairs over finite fields.
doi:10.1007/978-3-319-72299-3_16.

Jonathan Spreer, Stephan Tillmann.
Unravelling the dodecahedral spaces.
doi:10.1007/978-3-319-72299-3_17.

Other Contributed Articles

Higher Structures in Geometry and Physics

Philip Hackney, Marcy Robertson.
Lecture notes on infinity-properads.
doi:10.1007/978-3-319-72299-3_18.

Ralph Kaufmann.
Lectures on Feynman categories.
doi:10.1007/978-3-319-72299-3_19.

Sinan Yalin.
Moduli spaces of (bi)algebra structures in topology and geometry.
doi:10.1007/978-3-319-72299-3_20.

Victor Turchin.
Embedding calculus and the little discs operads.
doi:10.1007/978-3-319-72299-3_21.

Winter of Disconnectedness

Adrien Le Boudec.
Groups of automorphisms and almost automorphisms of trees: subgroups and dynamics.
doi:10.1007/978-3-319-72299-3_22.

Colin D. Reid.
Normal subgroup structure of totally disconnected locally compact groups.
doi:10.1007/978-3-319-72299-3_23.

Anne Thomas.
Automorphism groups of combinatorial structures.
doi:10.1007/978-3-319-72299-3_24.

Phillip Wesolek.
A survey of elementary totally disconnected locally compact groups.
doi:10.1007/978-3-319-72299-3_25.

George Willis.
The scale, tidy subgroups and flat groups.
doi:10.1007/978-3-319-72299-3_26.

Interactions between Topological Recursion, Modularity, Quantum Invariants and Low-dimensional Topology

Roland van der Veen.
Introduction to quantum invariants of knots.
doi:10.1007/978-3-319-72299-3_27.