Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Kate Ponto"'
Autor:
Kate Ponto
Publikováno v:
Proceedings of the American Mathematical Society. 151:439-452
We give an obstruction theory for lifts and extensions in a model category inspired by Klein and Williams’ work on intersection theory. In contrast to the familiar obstructions from algebraic topology, this theory produces a single invariant that i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::35bcf94b1cc27e1b225d4f8c66d89068
https://doi.org/10.1090/proc/16076
https://doi.org/10.1090/proc/16076
Autor:
Jonathan A Campbell, Kate Ponto
Publikováno v:
The Quarterly Journal of Mathematics.
Smooth and proper dg-algebras have an Euler class valued in the Hochschild homology of the algebra. This Euler class is worthy of this name since it satisfies many familiar properties including compatibility with the pairing on the Hochschild homolog
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6eabb08c177ffecd89a7488221f1c70
https://doi.org/10.1093/qmath/haad003
https://doi.org/10.1093/qmath/haad003
Autor:
Cary Malkiewich, Kate Ponto
Publikováno v:
International Mathematics Research Notices
We answer in the affirmative two conjectures made by Klein and Williams. First, in a range of dimensions, the equivariant Reidemeister trace defines a complete obstruction to removing $n$-periodic points from a self-map $f$. Second, this obstruction
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f0ec30649240d9b6b8f70f295825baf
https://doi.org/10.1093/imrn/rnaa174
https://doi.org/10.1093/imrn/rnaa174
Publikováno v:
Fifty Years of Women in Mathematics ISBN: 9783030826574
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8751d686c867a6397e271a3f06945900
https://doi.org/10.1007/978-3-030-82658-1_82
https://doi.org/10.1007/978-3-030-82658-1_82
Autor:
Michael Shulman, Kate Ponto
Publikováno v:
New Directions in Homotopy Theory. :89-120
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e4b5fd58eacc7edf576c9239e687bf8
https://doi.org/10.1090/conm/707/14256
https://doi.org/10.1090/conm/707/14256
Publikováno v:
Advances in Mathematics. 321:391-430
Motivated by the operad built from moduli spaces of Riemann surfaces, we consider a general class of operads in the category of spaces that satisfy certain homological stability conditions. We prove that such operads are infinite loop space operads i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::47040f2f50ac28d40f1d36b14c3fd095
https://doi.org/10.1016/j.aim.2017.09.036
https://doi.org/10.1016/j.aim.2017.09.036
Autor:
Jonathan A Campbell, Kate Ponto
While not obvious from its initial motivation in linear algebra, there are many context where iterated traces can be defined. In this paper we prove a very general theorem about iterated 2-categorical traces. We show that many Lefschetz-type theorems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed451a05f0274615d67e5aa0046228b2
http://arxiv.org/abs/1908.07497
http://arxiv.org/abs/1908.07497
Autor:
Kate Ponto, Jonathan A. Campbell
Publikováno v:
Algebr. Geom. Topol. 19, no. 2 (2019), 965-1017
We show that an important classical fixed point invariant, the Reidemeister trace, arises as a topological Hochschild homology transfer. This generalizes a corresponding classical result for the Euler characteristic and is a first step in showing the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af1a40e0465db474208f508854868755
Autor:
Kate Ponto
Publikováno v:
Homology, Homotopy and Applications. 17:161-190
We reexamine equivariant generalizations of the Lefschetz number and Reidemeister trace using categorical traces. This gives simple, conceptual descriptions of the invariants as well as direct comparisons to previously defined generalizations. These
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::618d3acb6de9fa55f41cb4337941c497
https://doi.org/10.4310/hha.2015.v17.n2.a9
https://doi.org/10.4310/hha.2015.v17.n2.a9
Autor:
Anna Bohmann, Kristen Mazur, Angélica Osorno, Viktoriya Ozornova, Kate Ponto, Carolyn Yarnall
Publikováno v:
Women in Topology. :123-134
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4f8e847deae15ef591c92a9dce494d3c
https://doi.org/10.1090/conm/641/12861
https://doi.org/10.1090/conm/641/12861