Corpus evidence — top 10 passages

Most-relevant passages from the entire indexed corpus (67,286 paragraph chunks across YouTube transcripts, PubMed, arXiv, archive.org, Stanford Encyclopedia of Philosophy, OpenAlex, and more) ranked by semantic similarity (bge-small-en-v1.5).

1. 01 · openalex-fanout0.762

   (1998) Anti de Sitter space and holography — cited 13269x (2008) Non-Abelian anyons and topological quantum computation — cited 6868x (2000) Large N field theories, string theory and gravity — cited 5566x (2006) Anyons in an exactly solved model and beyond — cited 5288x (2000) Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect — cited 3492x (2008) Classification of topological insulators and superconductors in three spatial dimensions — cited 3342x (1991) Nonabelions in the fractional quantum hall effect — cit…

   openalex-fanout/W2007185418-quantum-field-theory-and-the-jones-polynomial/info.md

2. 02 · pubmed0.757

   The soft photon theorem, in its standard form, requires corrections when the asymptotic particle states carry magnetic charges. These corrections are deduced using electromagnetic duality and the resulting soft formula conjectured to be exact for all Abelian gauge theories. Recent work has shown that the standard soft theorem implies an infinity of conserved electric charges. The associated symmetries are identified as "large" electric gauge transformations. Here the magnetic corrections to the soft theorem are shown to imply a second infinity of conserved magnetic charges. The associated symm…

   pubmed/PMID-26849586-magnetic-corrections-to-the-soft-photon-theorem/info.md

3. 03 · openalex-fanout0.752

   - (1989) **Quantum field theory and the Jones polynomial** — Edward Witten — cited 4909x - (1995) **Homological Algebra of Mirror Symmetry** — Maxim Kontsevich — cited 1223x - (1996) **Geometry of 2D topological field theories** — Boris Dubrovin — cited 1145x - (1988) **Topological sigma models** — Edward Witten — cited 1124x - (1988) **Topological quantum field theory** — Michael Atiyah — cited 977x - (1990) **On the structure of the topological phase of two-dimensional gravity** — Edward Witten — cited 921x - (1991) **Topological field theory** — Danny Birmingham — cited 835x - (2004) **Holo…

   openalex-fanout/W2027025011-pseudo-holomorphic-curves-in-symplectic-manifolds/info.md

4. 04 · openalex-fanout0.751

   (1989) Quantum field theory and the Jones polynomial — cited 4909x (1995) Homological Algebra of Mirror Symmetry — cited 1223x (1996) Geometry of 2D topological field theories — cited 1145x (1988) Topological sigma models — cited 1124x (1988) Topological quantum field theory — cited 977x (1990) On the structure of the topological phase of two-dimensional gravity — cited 921x (1991) Topological field theory — cited 835x (2004) Holomorphic disks and topological invariants for closed three-manifolds — cited 765x (1988) Morse theory for Lagrangian intersections — cited 739x (1995) Symplectic invar…

   openalex-fanout/W2027025011-pseudo-holomorphic-curves-in-symplectic-manifolds/info.md

5. 05 · pubmed0.748

   We propose a new selection principle for distinguishing among possible vacua that we call the "relaxation principle." The idea is that the Universe will naturally select among possible vacua through its cosmological evolution, and the configuration with the biggest filling fraction is the likeliest. We apply this idea to the question of the number of dimensions of space. We show that under conventional (but higher-dimensional) Friedmann-Robertson-Walker evolution, a universe filled with equal numbers of branes and antibranes will naturally come to be dominated by 3-branes and 7-branes. We show…

   pubmed/PMID-16241782-relaxing-to-three-dimensions/info.md

6. 06 · openalex-fanout0.748

   (1994) Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes — cited 1056x (1993) Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties — cited 993x (1994) Target space duality in string theory — cited 927x (1994) Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes — cited 917x (1994) A strong coupling test of s-duality — cited 885x (2007) Flux compactification — cited 815x (1991) Scale factor duality for classical and quantum strings — cited 813x (1994) A strong coupling test of S-duality — cited 771x (1994…

   openalex-fanout/W2067602374-duality-in-calabi-yau-moduli-space/info.md

7. 07 · openalex-fanout0.747

   (2003) Perturbative Gauge Theory As A String Theory In Twistor Space — cited 985x (2003) The Topological Vertex — cited 550x (2001) Superstrings and topological strings at large <i>N</i> — cited 511x (2005) Topological Strings and Integrable Hierarchies — cited 508x (1999) Knot Invariants and Topological Strings — cited 483x (2000) D-Branes And Mirror Symmetry — cited 448x (2003) Triangulated categories of singularities and D-branes in Landau-Ginzburg models — cited 433x (2004) Building a Better Racetrack — cited 371x (2000) Mirror Symmetry, D-Branes and Counting Holomorphic Discs — cited 364x…

   openalex-fanout/W3037758200-mirror-symmetry/info.md

8. 08 · openalex-fanout0.746

   - (2018) **Compactification of strata of Abelian differentials** — Matt Bainbridge, Dawei Chen — cited 100x - (2016) **Splitting mixed Hodge structures over affine invariant manifolds** — Simion Filip — cited 87x - (2013) **Cylinder deformations in orbit closures of translation surfaces** — Alex Wright — cited 74x - (2015) **Semisimplicity and rigidity of the Kontsevich-Zorich cocycle** — Simion Filip — cited 62x - (2016) **Right-angled billiards and volumes of moduli spaces of quadratic differentials on ${\mathbb {C}}\!\operatorname{P}^1$** — Jayadev S. Athreya, Alex Eskin — cited 54x - (2018…

   openalex-fanout/W1696502110-invariant-and-stationary-measures-for-the-sl-2-r-action-on-m/info.md

9. 09 · arxiv0.744

   These lecture notes give an overview of recent results in geometric Langlands correspondence which may yield applications to quantum field theory. We start with a motivated introduction to the Langlands Program, including its geometric reformulation, addressed primarily to physicists. I tried to make it as self-contained as possible, requiring very little mathematical background. Next, we describe the connections between the Langlands Program and two-dimensional conformal field theory that have been found in the last few years. These connections give us important insights into the physical imp…

   arxiv/hep-th_0512172-lectures-on-the-langlands-program-and-conformal-field-theory/info.md

10. 10 · arxiv0.744

    Recent developments in ``Einstein Dehn filling'' allow the construction of infinitely many Einstein manifolds that have different topologies but are geometrically close to each other. Using these results, we show that for many spatial topologies, the Hartle-Hawking wave function for a spacetime with a negative cosmological constant develops sharp peaks at certain calculable geometries. The peaks we find are all centered on spatial metrics of constant negative curvature, suggesting a new mechanism for obtaining local homogeneity in quantum cosmology.

    arxiv/gr-qc_0310002-peaks-in-the-hartle-hawking-wave-function-from-sums-over-top/info.md