Work

Derived moduli of sections and push-forwards

Year: 2022

Type: article

Abstract: We introduce a derived enhancement of the moduli space of sections defined by Chang-Li, and we compute its tangent complex. Special cases of this moduli space include stable maps and stable quasi-maps. As an application, we prove that G-theoretic stable map and quasi-map invariants of projective spaces are equal.

Source: White Rose Research Online (University of Leeds, The University of Sheffield, University of York)

DOI: 10.48550/arxiv.2210.11386

Authors: Kern, David, Mann, Etienne, Manolache, Cristina, Picciotto, Renata

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Göran Gustafssons Stiftelser, London Mathematical Society, European Commission, Agence Nationale de la Recherche

Awards: Categorification in algebraic geometry, G6803667113

OpenAlex ID: W4307079110