Stacks for Everybody

By Barbara Fantechi. 2001

79 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/303e985f4a7def0f3f167599935a1f184ea9ba68

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In Mathematical Physics

Citations in the corpus

Quantum periods for 3-dimensional Fano manifolds (2013, background): “Excellent introductions to Deligne–Mumford stacks can be found in [17] and [72, Appendix]; note that in the latter reference Deligne–Mumford stacks are called ‘algebraic stacks’.”
Orbifold quantum Riemann–Roch, Lefschetz and Serre (2005, background): “A friendly introduction to basic notions of stacks can be found in [ 31 ].”
A Superficial Working Guide to Deformations and Moduli (2011, background): “We do not essentially talk about stacks (for which an elementary presentation can be found in [67]), but we clarify how moduli spaces are obtained by gluing together Kuranishi spaces, and we show the fundamental difference for the étale equivalence relation in the two respective cases of canonical a”
Exploded Manifolds (2009, background): “(See the article [2] for a readable introduction to stacks).”
Topological methods in moduli theory (2014, background): “These lead to some stacks called by the author ‘analytic Artin stack’ (see [11] and [164] as a reference on Artin stacks).”
THE MODULI SPACE OF CURVES AND GROMOV-WITTEN THEORY (2006, background): “There is as of yet no ideal book introducing (DeligneMumford) stacks, but Fantechi’s [Fan] and Edidin’s [E] both give an excellent idea of how to think about them and work with them, and the appendix to Vistoli’s paper [Vi] lays out the foundations directly, elegantly, and quickly, although this is ”
Orbifolds and Stringy Topology (2007, background): “For more on the stack perspective, see [50, 109].”