activity
20122014
most citedA 'Darboux Theorem' for shifted symplectic structures on derived Artin stacks, with applications

104 citations · 125 across the 3 of their papers we have counts for

collaborators

7 papers

math.AG2014★ 11 cited

Categorification of Lagrangian intersections on complex symplectic manifolds using perverse sheaves of vanishing cycles

Vittoria Bussi

We study intersections of complex Lagrangian in complex symplectic manifolds, proving two main results. First, we construct global canonical perverse sheaves on complex Lagrangian…

math.AG2014★ 10 cited

Generalized Donaldson-Thomas theory over fields K C

Vittoria Bussi

Generalized Donaldson-Thomas invariants defined by Joyce and Song arXiv:0810.5645 are rational numbers which `count' both -stable and -semistable coherent sheaves with Chern…

math.AG2013★ 104 cited

A 'Darboux Theorem' for shifted symplectic structures on derived Artin stacks, with applications

Oren Ben-Bassat, Christopher Brav, Vittoria Bussi +1

This is the fifth in a series arXiv:1304.4508, arXiv:1305,6302, arXiv:1211.3259, arXiv:1305.6428 on the '-shifted symplectic derived algebraic geometry' of Pantev, Toen, Vaquie…

math.AG2013

Naive motivic Donaldson-Thomas type Hirzebruch classes and some problems

Vittoria Bussi, Shoji Yokura

Donaldson-Thomas invariant is expressed as the weighted Euler characteristic of the so-called Behrend (constructible) function. In \cite{Behrend} Behrend introduced a DT-type invar…

math.AG2013

On motivic vanishing cycles of critical loci

Vittoria Bussi, Dominic Joyce, Sven Meinhardt

Let be a smooth scheme over an algebraically closed field of characteristic zero and a regular function, and write Crit, as a closed…

math.AG2013

A 'Darboux theorem' for derived schemes with shifted symplectic structure

Christopher Brav, Vittoria Bussi, Dominic Joyce

We prove a 'Darboux theorem' for derived schemes with symplectic forms of degree , in the sense of Pantev, Toen, Vaquie and Vezzosi arXiv:1111.3209. More precisely, we show th…