Lectures on Vector Bundles over Riemann Surfaces (eBook)

Robert C. Gunning (Autor)

eBook Download: PDF

2020
246 Seiten
Princeton University Press (Verlag)
978-0-691-21821-2 (ISBN)

Infos

The description for this book, Lectures on Vector Bundles over Riemann Surfaces. (MN-6), Volume 6, will be forthcoming.

Produkt-Details

• Erscheint lt. Verlag: 1.9.2020
• Reihe/Serie: Mathematical Notes
• Reihe/Serie: Mathematical Notes
• Reihe/Serie: Monographs in Population Biology
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Schlagworte: adjoint representation • Algebraic Geometry • Algebraic operation • algebraic variety • "Analytic sheaves • automorphism • Banach space • base point • Bundle map • Cartesian Product • Characteristic class • Characteristic Polynomial • Chern class • Classification theorem • coefficient • cohomology • Cokernel • Commutative diagram • commutative property • Compact Riemann surface • Complex Analysis • Complex dimension • Complex Lie group • complex manifold • complex plane • Complex vector bundle • continuous function • Coset • Covering space • decomposable • Diagram (category theory) • differential form • Differential Geometry • Differential operator • Dimension (vector space) • direct image • direct sum • Disjoint union • dual space • Eigenvalues and Eigenvectors • endomorphis • Endomorphism • equivalence class • equivalence relation • equivalent" • exact sequence • existential quantification • exterior derivative • fiber bundle • fibration • flat complex vector bundles • Flat vector bundles • Fourier series • fundamental group • general linear group • Geometric invariant theory • Grassmannian • Group (mathematics) • holomorphic function • Holomorphic vector bundle • Homeomorphism • Homomorphism • Identity element • Identity matrix • Inner automorphism • Integer • Interval (mathematics) • inverse Image sheaf • Invertible matrix • irreducible representation • Jacobian matrix and determinant • Lie group • Limit point • Linear map • Linear space (geometry) • Linear subspace • line bundle • Locally constant function • Methods of Mathematical physics • Neighbourhood (mathematics) • Nilpotent • Open set • Pairing • period class • polynomial • Presheaf (category theory) • Projective line • Prym differentials • quotient bundle • Quotient space (topology) • representation theorem • Riemann Mapping Theorem • Riemann-Roch theorem • Riemann surface • Ring (mathematics) • scientific notation • Serre Duality • Several Complex Variables • Sheaf (mathematics) • sheaf of modules • sheaf of relations • Short exact sequence • Simply connected space • Special case • submanifold • Subset • symmetric space • symmetric spaces • Tangent Space • tensor product • Tensor product of modules • Theorem • topological group • topological sorting • Topological space • topological vector space • Topology • Unitary matrix • Unitary Representation • vector bundle • Vector Space
• ISBN-10: 0-691-21821-8 / 0691218218
• ISBN-13: 978-0-691-21821-2 / 9780691218212