Alberto Abbondandolo

Geometry and Topology · 2001–2015

A researcher in the Science corpus: 12 papers; trusts 15 researchers and is trusted by 17 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 41 citations into it; #1,155 of 7,422 by trust here, #1,298 by citations
• Mathematical Physics — 31 citations into it; #1,357 of 8,562 by trust here, #1,567 by citations
• Applied Mathematics — 19 citations into it; #5,585 of 7,620 by trust here, #4,234 by citations
• Computational Theory and Mathematics — 13 citations into it; #6,102 of 12,182 by trust here, #7,851 by citations
• Statistical and Nonlinear Physics — 6 citations into it

Whom Alberto Abbondandolo trusts overall

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

1. Pietro Majer
2. Dietmar Salamon
3. Joa Weber
4. M. Schwarz
5. Urs Frauenfelder
6. G. Contreras
7. Clifford H. Taubes
8. Kai Cieliebak
9. P. Seidel
10. A. Fathi

Who trusts Alberto Abbondandolo overall

1. M. Abouzaid
2. Frederick J. Bourgeois III
3. Pietro Majer
4. Alexander F. Ritter
5. A. Oancea
6. D. Auroux
7. V. Ginzburg
8. M. Schwarz
9. P. Seidel
10. R. Leclercq

Papers from Alberto Abbondandolo's perspective

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

1. Perturbed closed geodesics are periodic orbits: Index and transversality
2. Perturbation theory for linear operators
3. Transversal mappings and flows
4. Morse homology on Hilbert spaces
5. The Seiberg–Witten equations and the Weinstein conjecture
6. Floer homology of cotangent bundles and the loop product
7. Lectures on Floer homology
8. Applications of Hofer's geometry to Hamiltonian dynamics
9. One-dimensional variational problems
10. Weak kam theorem on non compact manifolds

Their papers

• The homology of path spaces and Floer homology with conormal boundary conditions (2008) — 59 citations
• Morse homology on Hilbert spaces (2001) — 66 citations
• Sharp systolic inequalities for Reeb flows on the three-sphere (2015) — 72 citations
• Lectures on the free period Lagrangian action functional (2013) — 57 citations
• Estimates and computations in Rabinowitz-Floer homology (2009) — 47 citations
• Floer homology of cotangent bundles and the loop product (2008) — 135 citations
• A Smooth Pseudo-Gradient for the Lagrangian Action Functional (2008) — 75 citations
• LECTURES ON THE MORSE COMPLEX FOR INFINITE-DIMENSIONAL MANIFOLDS (2006) — 78 citations
• On the Floer homology of cotangent bundles (2004) — 244 citations
• Ordinary differential operators in Hilbert spaces and Fredholm pairs (2003) — 61 citations
• A Morse complex for infinite dimensional manifolds - Part I (2003) — 47 citations
• Morse Theory for Hamiltonian Systems (2001) — 73 citations