L. Gottsche

Geometry and Topology · 2006–2014

A researcher in the Science corpus: 4 papers; trusts 18 researchers and is trusted by 1 researcher here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 41 citations into it; #7,357 of 7,422 by trust here, #3,547 by citations
• Mathematical Physics — 24 citations into it
• Computational Theory and Mathematics — 16 citations into it
• Algebra and Number Theory — 10 citations into it
• Discrete Mathematics and Combinatorics — 6 citations into it

Whom L. Gottsche trusts overall

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

1. R. Pandharipande
2. G. Mikhalkin
3. Ravi Vakil
4. Vivek V. Shende
5. F. Catanese
6. Richard P. Thomas
7. I. Itenberg
8. Andreas Gathmann
9. M. Kapranov
10. Davesh Maulik

Who trusts L. Gottsche overall

1. I. Itenberg
2. I. Cherednik

Papers from L. Gottsche's perspective

Ordered by how strongly the researchers L. Gottsche trusts endorse each paper. Same corpus, a different order for every researcher.

1. Enumerative tropical algebraic geometry
2. Counting curves on rational surfaces
3. Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry
4. Stable pairs and BPS invariants
5. Enumerative tropical algebraic geometry in R^2
6. The Caporaso–Harris formula and plane relative Gromov-Witten invariants in tropical geometry
7. Curve counting via stable pairs in the derived category
8. Riemann-Roch theorems and elliptic genus for virtually smooth schemes
9. The refined topological vertex
10. A Degeneration Formula of GW-Invariants

Their papers

• Refined curve counting on complex surfaces (2012) — 73 citations
• Refined curve counting with tropical geometry (2014) — 89 citations
• Riemann-Roch theorems and elliptic genus for virtually smooth schemes (2007) — 111 citations
• Grothendieck’s existence theorem in formal geometry (2006) — 100 citations