Formality properties of finitely generated groups and Lie algebras
We explore the graded-formality and filtered-formality properties of finitely generated groups
by studying the various Lie algebras over a field of characteristic 0 attached to such groups …
by studying the various Lie algebras over a field of characteristic 0 attached to such groups …
Formality and finiteness in rational homotopy theory
AI Suciu - EMS Surveys in Mathematical Sciences, 2023 - ems.press
Formality and finiteness in rational homotopy theory Page 1 EMS Surv. Math. Sci. 10 (2023),
321–403 DOI 10.4171/EMSS/74 © 2023 European Mathematical Society Published by EMS …
321–403 DOI 10.4171/EMSS/74 © 2023 European Mathematical Society Published by EMS …
The Orlik-Solomon model for hypersurface arrangements
C Dupont - Annales de l'institut Fourier, 2015 - numdam.org
We develop a model for the cohomology of the complement of a hypersurface arrangement
inside a smooth projective complex variety. This generalizes the case of normal crossing …
inside a smooth projective complex variety. This generalizes the case of normal crossing …
On the geometry and topology of partial configuration spaces of Riemann surfaces
B Berceanu, DA Măcinic, Ş Papadima… - Algebraic & Geometric …, 2017 - msp.org
We examine complements (inside products of a smooth projective complex curve of arbitrary
genus) of unions of diagonals indexed by the edges of an arbitrary simple graph. We use …
genus) of unions of diagonals indexed by the edges of an arbitrary simple graph. We use …
Infinitesimal finiteness obstructions
S Papadima, AI Suciu - Journal of the London Mathematical …, 2019 - Wiley Online Library
Does a space enjoying good finiteness properties admit an algebraic model with
commensurable finiteness properties? In this note, we provide a rational homotopy …
commensurable finiteness properties? In this note, we provide a rational homotopy …
Abelian arrangements
C Bibby - 2015 - scholarsbank.uoregon.edu
An abelian arrangement is a finite set of codimension one abelian subvarieties (possibly
translated) in a complex abelian variety. We are interested in the topology of the …
translated) in a complex abelian variety. We are interested in the topology of the …
On models of orbit configuration spaces of surfaces
M Maassarani - arxiv preprint arxiv:2010.12336, 2020 - arxiv.org
We consider orbit configuration spaces $ C_n^ G (S) $, where $ S $ is a surface obtained
out of a closed orientable surface $\bar {S} $ by removing a finite number of points …
out of a closed orientable surface $\bar {S} $ by removing a finite number of points …