Resumen
We prove two general decomposition theorems for fixed-point invariants: one for the Lefschetz number and one for the Reidemeister trace. These theorems imply the familiar additivity results for these invariants. Moreover, the proofs of these theorems are essentially formal, taking place in the abstract context of bicategorical traces. This makes it straightforward to generalize the theory to analogous invariants in other contexts, such as equivariant and fiberwise homotopy theory.
| Idioma original | English |
|---|---|
| Título de la publicación alojada | Contemporary Mathematics |
| Páginas | 89-120 |
| Número de páginas | 32 |
| DOI | |
| Estado | Published - 2018 |
Serie de la publicación
| Nombre | Contemporary Mathematics |
|---|---|
| Volumen | 707 |
| ISSN (versión impresa) | 0271-4132 |
| ISSN (versión digital) | 1098-3627 |
Nota bibliográfica
Publisher Copyright:© 2018 Kate Ponto and Michael Shulman.
Financiación
2010 Mathematics Subject Classification. 18D05, 18D10, 55M20. Key words and phrases. trace, additivity, derivators, monoidal model category. The first author was partially supported by NSF grant DMS-1207670. The second author was partially supported by an NSF postdoctoral fellowship and NSF grant DMS-1128155, and appreciates the hospitality of the University of Kentucky. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
| Financiadores | Número del financiador |
|---|---|
| University of Kentucky | |
| U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China | DMS-1207670, DMS-1128155 |
ASJC Scopus subject areas
- General Mathematics