Introduction BASIC FACTS ON HARMONIC MORPHISMS 1. Complex-valued harmonic morphisms on three-dimensional Euclidean space 2. Riemannian manifolds and conformality 3. Harmonic mappings between Riemannian manifolds 4. Fundamental properties of harmonic morphisms 5. Harmonic morphisms defined by polynomials TWISTOR METHODS 6. Mini-twistor theory on three-dimensional space-forms 7. Twistor methods 8. Holomorphic harmonic morphisms 9. Multivalued harmonic morphisms TOPOLOGICAL AND CURVATURE CONSIDERATIONS 10. Harmonic morphisms from compact 3-manifolds 11. Curvature considerations 12. Harmonic morphisms with one-dimensional fibres 13. Reduction techniques FURTHER DEVELOPMENTS 14. Harmonic morphisms between semi-Riemannian manifolds Appendix Glossary of Notation Bibliography Index

Harmonic morphisms between Riemannian manifolds

We prove that, like the Seiberg{Witten monopole homology, the Heegaard Floer homology for a three-manifold determines its Thurston norm. As a consequence, we show that knot Floer homology detects the genus of a knot. This leads to new proofs of certain results previously obtained using Seiberg{Witten monopole Floer homology (in collaboration with Kronheimer and Mrowka). It also leads to a purely Morse-theoretic interpretation of the genus of a knot. The method of proof shows that the canonical element of Heegaard Floer homology associated to a weakly symplectically llable contact structure is non-trivial. In particular, for certain three-manifolds, Heegaard Floer homology gives obstructions to the existence of taut foliations.

/pdf/holomorphic-disks-and-genus-bounds-1rysbkz4eu.pdf

Holomorphic disks and genus bounds

Algebraic Geometry I

We continue our study of the monoid of right-veering diffeomorphisms on a compact oriented surface with nonempty boundary, introduced in [HKM2]. We conduct a detailed study of the case when the surface is a punctured torus; in particular, we exhibit the difference between the monoid of right-veering diffeomorphisms and the monoid of products of positive Dehn twists, with the help of the Rademacher function. We then generalize to the braid group B_n on n strands by relating the signature and the Maslov index. Finally, we discuss the symplectic fillability in the pseudo-Anosov case by comparing with the work of Roberts [Ro1,Ro2].

Right-veering diffeomorphisms of compact surfaces with boundary I

pdf/domains-with-non-compact-automorphism-group-a-survey-2fkuw4la12.pdf

Domains with Non-Compact Automorphism Group: A Survey☆

David E Barrett, Uniqueness for the Dirilchlet problem for harmonic maps from the annulus into the space of planar discs Steve Bell, CR maps between hypersurfaces in Cn Carlos A Berenstein and Alain Yger, Bounds for the degrees in polynomial equations Thomas Bloom, Lagrange interpolants for entire functions on cn Urban Cegrell, An inequality for analytic functions J A Cima and W R Derrick, Some solutions of the Beltrami equation with J = 1 V Ezhov, On the problem of the linearization of the stability group of real-analytic hypersurface Franc Forstneric, Mappings of strongly pseudoconvex Cauchy-Reimann manifolds S M Ivashkovich, Rational curves and extensions of holomorphic mappings Jacob Korevaar, Applications of Cn capacities Steven G Krantz, Convexity in complex analysis Donna Kumagai, Solutions of q2 /qz qz = e2u and analytic multivalued functions Alan Noell, Local versus global convexity of pseudoconvex domains Sergey Pinchuk, The scaling method and holomorphic mappings Evgeny A Poletsky, Plurisubharmonic functions as solutions of variational problems A G Sergeev, On complex analysis in tube cones Bernard Shiffman, Separately meromorphic functions and separately holomorphic mappings Nessim Sibony, Some aspects of weakly pseudoconvex domains Pascal J Thomas, Unions minimales de n-plans reels d'enveloppe egala a Cn Jan Wiegerinck and Rein Zeinstra, Separately subharmonic functions When are they subharmonic Kehe Zhu, Functions of bounded mean oscillation in the Bergman metric on bounded symmetric domains. PART II Robert E Greene, The geometry of complex manifolds An overview Marco Abate, Angular derivatives in strongly pseudoconvex domains Yukinobu Adachi and Masakazu Suzuki, Degeneracy points of the Kobayashi pseudodistances on complex manifolds Takao Akahori, On the construction of the moduli space for strongly pseudoconvex domains Andrew Balas, On the holomorphic sectional curvature of complete domains in Cn that are not Stein J Bland and T Duchamp, Normal forms for convex domains Ciprian Borcea, Homogenous vector bundles and families of Calabi-Yau threefolds. II Jean Pierre Demailly, Holomorphic Morse inequalities Pierre Dolbeault, Some problems Michael G Eastwood and C Robin Graham, Invariants of CR densities Yakov Eliashberg and Mikhael Gromov, Convex symplectic manifolds H R Fischer and R J Fisher, Jr, Simple partial connections and the Einstein conditions Sidney Frankel, Applications of affine geometry to geometric function theory in several complex variables Part 1. Convergent rescalings and intrinsic quasi-isometric structure Akito Futaki, A Lie algebra character and Kahler-Einstein metrics of positive scalar curvature Bruce Gilligan, On the ends of complex manifolds homogenous under a Lie group James F Glazebrook and Franz W Kamber, Determinant line bundles for Hermitian foliations and a generalized Quillen metric Ian Graham, Sharp constants for the Koebe theorem and for estimates of intrinsic metrics on convex domains Chong-Kyu Han, Rigid immersions of G-structures and analyticity of CR mappings into spheres J William Helton and Orlando Merino, Optimal analytic disks Marek Jarnicki and Peter Pflug, Some remarks on the product property for invariant pseudometrics Shanyu Ji, Smoothing of currents and Moisezon manifolds Kang-Tae Kim, Biholomorphic mappings between quasicircular domains in Cn Akio Kodama, Characterizations of certain weakly pseudoconvex domains in Cn from the viewpoint of biholomorphic automorphism groups Claude LeBrun, Complete Ricci-flat Kahler metrics on Cn need not be flat. Steven Shin-Yi Lu, On meromorphic maps into varieties of log-general type Ngaiming Mok, Aspects of Kahler geometry on arithmetic varieties J Noguchi, Moduli spaces of holomorphic mappings into hyperbolic spaces and its applications Salomon Ofman, The analytic Radon transform Takeo Ohsawa, Applications of the q technique in L2 Hodge theory on complete Kahler manifolds Marius Overholt, Bounds on the derivates of holomorphic endomorphisms Giorgio Patrizio and Pit-Mann Wong, Monge-Ampere functions with large center Mathias Peternell, A characterization of affine varieties Thomas Peternell and Michael Schneider, Compactifications of Cn: A survey T Ratiu and A Todorov, An infinite-dimensional point of view on the Weil-Petersson metric Min Ru and Wilhelm Stoll, The Cartan conjecture for moving targets Morihiko Saito, On Kollar's conjecture Leslie Saper and Steven Zucker, An introduction to L2-cohomology Vo Van Tan, On the compactfication problems for Stein 3-folds Gang Tian, On one of Calabi's problems T Tonev, Multi-dimensional analytic structures and uniform algebras J Varouchas, The q-equation on complex spaces Jean-Pierre Vigue, Fixed points of holomorphic mappings in a bounded convex domain in Cn L Waelbroeck, Holomorphic functions taking their values in a q-space and the Cauchy-Fantappie formula B Wong, Schwarz's lemma and Hermitian manifolds with constant holomorphic curvature H Wu, Polynomial functions on complete Kahler manifolds Kichoon Yang, The Chern numbers of projective algebraic hypersurfaces Shing-Tung Yau, A review of complex differential geometry. Part III. M S Baouendi and Linda Preiss Rothschild, Minimality and the extension of functions from generic manifolds M S Baouendi and Linda Preiss Rothschild, Holomorphic mappings of real analytic hypersurfaces David Catlin, Extension of CR structures Der-Chen E Chang and Steven G Krantz, hp regularities for NIS operators on weakly pseudo-convex domains of finite type in C2 So-Chin Chen, Global regularity of the q-Neumann problem in dimension two Michael Christ, On the qb equation for three-dimensional CR manifolds Paulo Cordaro and Francois Treves, Necessary conditions for the local solvability of the tangential CR equations Raul Curto, Operator theory on Reinhardt domains John P D'Angelo, Finite type and the intersection of real and complex subvarieties Makhlouf Derridj and David s Tartakoff, Local analyticity for the q-Neumann problem and for &b in some model domains without maximal estimates John Erik Fornaess and Nessim Sibony, On Lp estimates for q Daryl Geller, Approximate projections and analytic pseudolocality of the Szego projection on domains in C2 Pengfei Guan, On an example of a subelliptic boundary value problem Gary A Harris, Degenerate surfaces in C2 C Denson Hill, Counterexamples to Newlander-Nirenberg up to the boundary A Alexandrou Himonas, Finite type analytic partial differential operators and analytic hypoellipticity D Khavinson, Singularities of harmonic functions in Cn Christer O Kiselman, A study of the Bergman projections in certain Hartogs domains Masatake Kuranishi, The frame bundles of CR structures and the Bergman kernel (I) Christine Laurent-Thiebaut, Resolution du qb a support compact et phenomene de Hartogs-Bochner dans les varieties CR Ewa Ligocka, On the regularity of coanalytic Toeplitz operators Hing-Sun Luk and Stephen S-T Yau, Obstructions to embedding of real (2n-1)-dimensional compact CR manifolds in Cn+1 Jeffrey D McNeal, On sharp Holder estimates for the solutions of the q-equations Reinhold Meise, B A Taylor, and Dietmar Vogt, Equivalence of analytic and plurisubharmonic Phragmen-Lindelof conditions John C Polking, The Cauchy-Reimann equations in convex domains Jean-Pierre Rosay, Examples of smooth CR structures with only nonsmooth CR functions Norberto Salinas, Noncompactness of the q-Neumann problem and Toeplitz C*-algebras Mei-Chi Shaw, Local solvability and estimates for qb on CR manifolds Nancy K Stanton, Rigid hypersurfaces in C2 S M Webster, The integrability problem for CR vector bundles.

Several complex variables and complex geometry

Several Complex Variables and Complex Geometry, Part 1

Several Complex Variables and Complex Geometry, Part 3

Handle everyday research tasks with reliable, citation-backed results

Your personal Research Agent to handle research tasks with citation-backed results

Popular Tasks used by Researchers

How can I help with your research?

Meet SciSpace

Get more enhanced response by uploading the PDFs you want me to reference.

No relevant PDFs in your library

SciSpace is the AI research assistant for academics. Run systematic literature reviews on 280M+ papers, and write papers with cited sources. Trusted by 1M+ students, PhDs & researchers.

SciSpace | AI for Research

Analyze PDFs

Code & Manuscripts

Funding & Grants

Literature & Patents

Medical & Clinical Data

Systematic Review

Visualize & Present

Web & Data

Build a Google Scholar-like website for your research.

Build a website

Create charts and images for your research

Create a Chart

Write a paper for submission to a journal

Draft a manuscript

Patent Search

Design eye-catching scientific posters in minutes.

Scientific Poster Generation

Systematic Literature Review

One task is running at the moment. Your messages will be shown right after.

Drag and drop or click here to browse

Loved by <highlight>1 million+</highlight> researchers

Extract a list of specific topics and their sources from unstructured text

Topics

Compare and analyze relevant papers that matches with your search

Papers

Get insights from PDFs and bookmarked papers from your library

My library

Recent searches

Try searching for:

Catch AI-generated content in scholarly and non-scholarly content

{ai} Detector

Ai Writer

Get PDF Summaries, highlighted text explanations 

Chat with PDF

Effortlessly create in-text citations and bibliographies in APA and 2,500 other formats

Citation generator

Get explanations, summaries, and answers on academic papers

Ease up your research workflow with {scispace}'s cohort of exciting AI tools

Elevate your academic writing skills and convey your ideas the way you want

Paraphraser

Explore our range of reading and writing tools

Your file is being prepared and should be ready in a few minutes. If it's a large file, it might take a bit longer. You can close this window, and we'll email you the file when it's done.

You have reached a maximum limit of <strong>{limit}</strong> columns in the table. Remove at least <strong>1</strong> column to add or create another one.

John D’Angelo

Author Tools

Chat about Author

Papers

Several complex variables and complex geometry

Several Complex Variables and Complex Geometry, Part 1

Several Complex Variables and Complex Geometry, Part 3