15 citations · 46 across the 10 of their papers we have counts for
10 papers
Gluing invariants of Donaldson--Thomas type -- Part II: Matrix factorizations
Benjamin Hennion, Julian Holstein, Marco Robalo
This paper is a follow-up to arXiv:2407.08471. Let be a a -shifted symplectic derived Deligne--Mumford stack. Thanks to the Darboux lemma of Brav--Bussi--Joyce, is lo…
Gluing invariants of Donaldson--Thomas type -- Part I: the Darboux stack
Benjamin Hennion, Julian Holstein, Marco Robalo
Let be a (-1)-shifted symplectic derived Deligne--Mumford stack. In this paper we introduce the Darboux stack of , parametrizing local presentations of as a derived crit…
Choices of HKR isomorphisms
Marco Robalo
In this short note we record the fact that the set of multiplicative HKR natural equivalences defined simultaneously for all derived schemes, functorialy splitting the HKR-filtrati…
A Universal HKR Theorem
Tasos Moulinos, Marco Robalo, Bertrand Toën
In this work we study the failure of the HKR theorem over rings of positive and mixed characteristic. For this we construct a filtered circle interpolating between the usual topolo…
Gromov-Witten theory with derived algebraic geometry
Etienne Mann, Marco Robalo
In this survey we add two new results that are not in our paper [MR15]. Using the idea of brane actions discovered by Toen, we construct a lax associative action of the operad of s…
A lemma for microlocal sheaf theory in the -categorical setting
Marco Robalo, Pierre Schapira
Microlocal sheaf theory of \cite{KS90} makes an essential use of an extension lemma for sheaves due to Kashiwara, and this lemma is based on a criterion of the same author giving c…
Motivic Realizations of Singularity Categories and Vanishing Cycles
A. Blanc, M. Robalo, B. Töen +1
In this paper we establish a precise comparison between vanishing cycles and the singularity category of Landau-Ginzburg models over a complete discrete valuation ring. By using no…
Brane actions, Categorification of Gromov-Witten theory and Quantum K-theory
Etienne Mann, Marco Robalo
Let X be a smooth projective variety. Using the idea of brane actions discovered by Toën, we construct a lax associative action of the operad of stable curves of genus zero on the…
Noncommutative Motives II: K-Theory and Noncommutative Motives
Marco Robalo
We continue the work initiated in arXiv:1206.3645, where we introduced a new stable symmetric monoidal -category encoding a motivic stable homotopy theory for…
Noncommutative Motives I: A Universal Characterization of the Motivic Stable Homotopy Theory of Schemes
Marco Robalo
Let $\V$ be a symmetric monoidal model category and let be an object in $\V$. From this we can construct a new symmetric monoidal model category $Sp^Σ(\V,X)$ of symmetric spect…