Iterated traces in 2-categories and Lefschetz theorems

DOI10.2140/agt.2022.22.815OpenAlexW4290802738MaRDI QIDQ2163649

Jonathan A. Campbell, Kathleen Ponto

Publication date: 10 August 2022

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07497

zbMATH Keywords

dualityHochschild homology2-categoriestracesmonoidal bicategoryLefschetz theoremsiterated traces

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) (K_0) as an ordered group, traces (19K14) 2-categories, bicategories, double categories (18N10)

Related Items (1)

Coherent Springer theory and the categorical Deligne-Langlands correspondence

Cites Work

• Unnamed Item
• Bimodules and natural transformations for enriched \(\infty\)-categories
• Shadows and traces in bicategories
• Traces in symmetric monoidal categories
• Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations
• A quadratic refinement of the Grothendieck-Lefschetz-Verdier trace formula
• Topological quantum field theories
• Lefschetz fixed point theorems for Fourier-Mukai functors and DG algebras
• The Mukai pairing. I: A categorical approach
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Quantum link homology via trace functor. I
• Topological Hochschild homology and higher characteristics
• Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives
• The multiplicativity of fixed point invariants
• Representation and character theory in 2-categories
• Lefschetz type formulas for dg-categories
• Model Categories of Diagram Spectra
• Compact Closed Bicategories
• Duality and traces for indexed monoidal categories
• Categorical Homotopy Theory
• Symmetric monoidal structure on non-commutative motives
• Fixed point theory and trace for bicategories
• Finitude homotopique des dg-algèbres propres et lisses
• On the Classification of Topological Field Theories
• Hirzebruch-Riemann-Roch-type formula for DG algebras
• Generalized group characters and complex oriented cohomology theories
• Dualizable tensor categories
• Catégories structurées
• The linearity of traces in monoidal categories and bicategories

This page was built for publication: Iterated traces in 2-categories and Lefschetz theorems