activity
20172024
most citedCosection Localization and Vanishing for Virtual Fundamental Classes of D-Manifolds

3 citations · 9 across the 10 of their papers we have counts for

collaborators

12 papers

cs.AI2024★ 3 cited

Reduce, Reuse, Recycle: Categories for Compositional Reinforcement Learning

Georgios Bakirtzis, Michail Savvas, Ruihan Zhao +2

In reinforcement learning, conducting task composition by forming cohesive, executable sequences from multiple tasks remains challenging. However, the ability to (de)compose tasks…

math.AG2023

Cosection Localization for D-Manifolds and -Shifted Symplectic Derived Schemes, Revisited

Michail Savvas

This is a continuation of prior work of the author on cosection localization for d-manifolds. We construct reduced virtual fundamental classes for derived manifolds with surjective…

math.AG2023

Good Moduli Spaces in Derived Algebraic Geometry

Eric Ahlqvist, Jeroen Hekking, Michele Pernice +1

We develop a theory of good moduli spaces for derived Artin stacks, which naturally generalizes the classical theory of good moduli spaces introduced by Alper. As such, many of the…

math.AG2022★ 1 cited

Stabilizer Reduction for Derived Stacks and Applications to Sheaf-Theoretic Invariants

Jeroen Hekking, David Rydh, Michail Savvas

We construct a canonical stabilizer reduction for any derived -algebraic stack over as a sequence of derived Kirwan blow-ups, under mild natural…

cs.AI2022

Categorical semantics of compositional reinforcement learning

Georgios Bakirtzis, Michail Savvas, Ufuk Topcu

Compositional knowledge representations in reinforcement learning (RL) facilitate modular, interpretable, and safe task specifications. However, generating compositional models req…

math.AG2022

Virtual Riemann-Roch Theorems for Almost Perfect Obstruction Theories

Michail Savvas

This is the third in a series of works devoted to constructing virtual structure sheaves and -theoretic invariants in moduli theory. The central objects of study are almost perf…

math.AG2021★ 1 cited

The d-critical structure on the Quot scheme of points of a Calabi-Yau 3-fold

Andrea T. Ricolfi, Michail Savvas

The Artin stack of -dimensional sheaves of length on carries two natural d-critical structures in the sense of Joyce. One comes from its descrip…

math.AG2020

Localizing Virtual Structure Sheaves for Almost Perfect Obstruction Theories

Young-Hoon Kiem, Michail Savvas

Almost perfect obstruction theories were introduced in an earlier paper by the authors as the appropriate notion in order to define virtual structure sheaves and -theoretic inva…

math.AG2020★ 3 cited

Cosection Localization and Vanishing for Virtual Fundamental Classes of D-Manifolds

Michail Savvas

We establish cosection localization and vanishing results for virtual fundamental classes of derived manifolds, combining the theory of derived differential geometry by Joyce with…

math.AG2020★ 1 cited

Intrinsic Stabilizer Reduction and Generalized Donaldson-Thomas Invariants

Michail Savvas

Let be a stability condition on the bounded derived category of a Calabi-Yau threefold and a moduli stack parametrizing $…

math.AG2019

K-Theoretic Generalized Donaldson-Thomas Invariants

Young-Hoon Kiem, Michail Savvas

We introduce the notion of almost perfect obstruction theory on a Deligne-Mumford stack and show that stacks with almost perfect obstruction theories have virtual structure sheaves…

math.AG2017

Generalized Donaldson-Thomas Invariants via Kirwan Blowups

Young-Hoon Kiem, Jun Li, Michail Savvas

We develop a virtual cycle approach towards generalized Donaldson-Thomas theory of Calabi-Yau threefolds. Let be the moduli stack of Gieseker semistable sheaves of fi…