Ionut Ciocan-Fontanine

Geometry and Topology · 2004–2014

A researcher in the Science corpus: 8 papers; trusts 25 researchers and is trusted by 16 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 53 citations into it; #1,295 of 7,422 by trust here, #968 by citations
• Mathematical Physics — 33 citations into it; #1,734 of 8,562 by trust here, #1,298 by citations
• Algebra and Number Theory — 8 citations into it
• Computational Theory and Mathematics — 7 citations into it
• Discrete Mathematics and Combinatorics — 7 citations into it; #1,724 of 2,017 by trust here, #812 by citations

Whom Ionut Ciocan-Fontanine trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Bumsig Kim
2. Alexander Givental
3. Tom Coates
4. Aaron Bertram
5. H. Iritani
6. K. Behrend
7. I. M. I. Riera
8. A. Marian
9. Hsian-Hua Tseng
10. D. Abramovich

Who trusts Ionut Ciocan-Fontanine overall

1. Bumsig Kim
2. Daewoong Cheong
3. Tom Coates
4. A. Okounkov
5. Bertrand Toën
6. Christopher Woodward
7. A. Marian
8. H. Jockers
9. Davesh Maulik
10. Alessio Corti

Papers from Ionut Ciocan-Fontanine's perspective

Ordered by how strongly the researchers Ionut Ciocan-Fontanine trusts endorse each paper. Same corpus, a different order for every researcher.

1. Quantum Riemann–Roch, Lefschetz and Serre
2. Quantum Lefschetz hyperplane theorem
3. Orbifold quantum Riemann–Roch, Lefschetz and Serre
4. Symplectic geometry of Frobenius structures
5. The orbifold Chow ring of toric Deligne-Mumford stacks
6. A mirror theorem for toric stacks (Compositio Mathematica)
7. Mirror Symmetry
8. Twisted stable maps to tame Artin stacks
9. Virtual intersections on the Quot-scheme and Vafa-Intriligator formulas
10. The moduli space of stable quotients

Their papers

• Orbifold quasimap theory (2014) — 79 citations
• Higher genus quasimap wall-crossing for semi-positive targets (2013) — 55 citations
• Wall-crossing in genus zero quasimap theory and mirror maps (2013) — 110 citations
• Stable quasimaps to GIT quotients (2011) — 225 citations
• Moduli stacks of stable toric quasimaps (2009) — 105 citations
• Virtual fundamental classes via dg-manifolds (2007) — 111 citations
• The Abelian/Nonabelian correspondence and Frobenius manifolds (2006) — 80 citations
• Gromov-Witten invariants for abelian and nonabelian quotients (2004) — 73 citations