Jacob Gross

activity

20182021

collaborators

4 papers

math.KT2021

Vertex F-algebra structures on the complex oriented homology of H-spaces

Jacob Gross, Markus Upmeier

We give a topological construction of graded vertex F-algebras that generalizes Joyce's vertex algebra to complex-oriented homology. Given an H-space X with a BU(1)-action, a certa…

math.AG2020

Universal structures in $C$ -linear enumerative invariant theories

Jacob Gross, Dominic Joyce, Yuuji Tanaka

An enumerative invariant theory in Algebraic Geometry, Differential Geometry, or Representation Theory, is the study of invariants which 'count' $τ$ -(semi)stable objects $E$ with f…

math.AG2019

The homology of moduli stacks of complexes

Jacob Gross

We compute the rational homology of the moduli stack $M$ of objects in the derived category of certain smooth complex projective varieties $X$ including toric varieties,…

math.DG2018

Orientability of moduli spaces of Spin(7)-instantons and coherent sheaves on Calabi-Yau 4-folds

Yalong Cao, Jacob Gross, Dominic Joyce

This paper concerns orientability of moduli spaces of Spin(7)-instantons on compact 8-manifolds $X$ with Spin(7)-structure for the Lie groups SU( $m$ ) and U( $m$ ), and of moduli spac…

Vertex F-algebra structures on the complex oriented homology of H-spaces

Universal structures in C-linear enumerative invariant theories

The homology of moduli stacks of complexes

Orientability of moduli spaces of Spin(7)-instantons and coherent sheaves on Calabi-Yau 4-folds

Universal structures in $C$ -linear enumerative invariant theories