Steven B Bradlow

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Research Output

2019

SO (p, q) -Higgs bundles and Higher Teichmüller components

Aparicio-Arroyo, M., Bradlow, S., Collier, B., García-Prada, O., Gothen, P. B. & Oliveira, A., Oct 1 2019, In : Inventiones Mathematicae. 218, 1, p. 197-299 103 p.

Research output: Contribution to journalArticle

2018

Composantes exotiques des variétés de représentations du groupe fondamental d'une surface dans SO(p,q) et les fibrés de Higgs correspondants

Translated title of the contribution: Exotic components of SO(p,q) surface group representations, and their Higgs bundle avatarsAparicio-Arroyo, M., Bradlow, S., Collier, B., García-Prada, O., Gothen, P. B. & Oliveira, A., Jun 2018, In : Comptes Rendus Mathematique. 356, 6, p. 666-673 8 p.

Research output: Contribution to journalArticle

Irreducibility of moduli of semi-stable chains and applications to U(P, q)-Higgs bundles

Bradlow, S., García-Prada, O., Gothen, P. & Heinloth, J., Jan 1 2018, Geometry and Physics: A Festschrift in Honour of Nigel Hitchin. Oxford University Press, Vol. 2. p. 455-470 16 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

2016

Higgs bundles and exceptional isogenies

Bradlow, S. B. & Schaposnik, L. P., 2016, In : Res. Math. Sci.. 3, p. Paper No. 14, 28

Research output: Contribution to journalArticle

2015

Higgs bundles for the non-compact dual of the special orthogonal group

Bradlow, S. B., García-Prada, O. & Gothen, P. B., Apr 1 2015, In : Geometriae Dedicata. 175, 1, p. 1-48 48 p.

Research output: Contribution to journalArticle

2014

Automorphisms and connections on Higgs bundles over compact Kähler manifolds

Biswas, I., Bradlow, S. B., Jacob, A. & Stemmler, M., Feb 2014, In : Differential Geometry and its Application. 32, 1, p. 139-152 14 p.

Research output: Contribution to journalArticle

2013

Approximate Hermitian-Einstein connections on principal bundles over a compact Riemann surface

Biswas, I., Bradlow, S. B., Jacob, A. & Stemmler, M., Oct 1 2013, In : Annals of Global Analysis and Geometry. 44, 3, p. 257-268 12 p.

Research output: Contribution to journalArticle

2012

Deformations of maximal representations in Sp(4, R)

Bradlow, S. B., García-Prada, O. & Gothen, P. B., Dec 1 2012, In : Quarterly Journal of Mathematics. 63, 4, p. 795-843 49 p.

Research output: Contribution to journalArticle

Foreword [In honor of the 60th birthday of John D'Angelo]

Bradlow, S., Ebenfelt, P., Tyson, J. T. & Varolin, D., 2012, In : Illinois Journal of Mathematics. 56, 1, p. iii-iv (2013)

Research output: Contribution to journalArticle

Morse theory, Higgs fields, and Yang-Mills-Higgs functionals

Bradlow, S. B. & Wilkin, G., Mar 26 2012, In : Journal of Fixed Point Theory and Applications. 11, 1, p. 1-41 41 p.

Research output: Contribution to journalArticle

2009

Coherent systems: a brief survey

Bradlow, S. B., 2009, Moduli spaces and vector bundles. Cambridge Univ. Press, Cambridge, Vol. 359. p. 229-264 36 p. (London Math. Soc. Lecture Note Ser.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Editors

Luchezar, L. A., Bonk, M., Bradlow, S., Griffith, P., Haboush, W., Junge, M., Neumann, W., Rosenberg, H., Sowers, R. & Thiele, C., Dec 1 2009, In : Illinois Journal of Mathematics. 53, 3, p. 121-122 2 p.

Research output: Contribution to journalEditorial

Moduli spaces and vector bundles

Bradlow, S., 2009, Cambridge, Uk: Cambridge University Press.

Research output: Book/Report/Conference proceedingBook

Moduli spaces of coherent systems of small slope on algebraic curves

Bradlow, S. B., García-Prada, O., Mercat, V., Muñoz, V. & Newstead, P. E., Aug 1 2009, In : Communications in Algebra. 37, 8, p. 2649-2678 30 p.

Research output: Contribution to journalArticle

2008

A test-bed for optimizing high-resolution single particle reconstructions

Stagg, S. M., Lander, G. C., Quispe, J., Voss, N. R., Cheng, A., Bradlow, H., Bradlow, S., Carragher, B. & Potter, C. S., Jul 1 2008, In : Journal of Structural Biology. 163, 1, p. 29-39 11 p.

Research output: Contribution to journalArticle

Homotopy groups of moduli spaces of representations

Bradlow, S. B., García-Prada, O. & Gothen, P. B., Sep 1 2008, In : Topology. 47, 4, p. 203-224 22 p.

Research output: Contribution to journalArticle

2007

On the geometry of moduli spaces of coherent systems on algebraic curves

Bradlow, S. B., García-Prada, O., Mercat, V., Muñoz, V. & Newstead, P. E., Apr 1 2007, In : International Journal of Mathematics. 18, 4, p. 411-453 43 p.

Research output: Contribution to journalArticle

What is a Higgs bundle?

Bradlow, S. B., Garda-Prada, O. & Gothen, P. B., Sep 1 2007, In : Notices of the American Mathematical Society. 54, 8, p. 980-981 2 p.

Research output: Contribution to journalReview article

2006

Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces

Bradlow, S. B., García-Prada, O. & Gothen, P. B., Oct 1 2006, In : Geometriae Dedicata. 122, 1, p. 185-213 29 p.

Research output: Contribution to journalArticle

2004

Moduli spaces of holomorphic triples over compact Riemann surfaces

Bradlow, S. B., García-Prada, O. & Gothen, P. B., Jan 1 2004, In : Mathematische Annalen. 328, 1-2, p. 299-351 53 p.

Research output: Contribution to journalArticle

Representations of surface groups in the general linear group

Bradlow, S. B., Garci a-Prada, O. & Gothen, P. B., 2004, Proceedings of the XII Fall Workshop on Geometry and Physics. R. Soc. Mat. Esp., Madrid, Vol. 7. p. 83-94 12 p. (Publ. R. Soc. Mat. Esp.).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2003

Coherent systems and Brill-Noether theory

Bradlow, S. B., García-Prada, O., Muñoz, V. & Newstead, P. E., Sep 1 2003, In : International Journal of Mathematics. 14, 7, p. 683-733 51 p.

Research output: Contribution to journalArticle

Relative Hitchin-Kobayashi correspondences for principal pairs

Bradlow, S. B., García-Prada, O. & Mundet i Riera, I., Jun 1 2003, In : Quarterly Journal of Mathematics. 54, 2, p. 171-208 38 p.

Research output: Contribution to journalArticle

Surface group representations and $rm U(p,q)$-Higgs bundles

Bradlow, S. B., Garci a-Prada, O. & Gothen, P. B., 2003, In : Journal of Differential Geometry. 64, 1, p. 111-170 60 p.

Research output: Contribution to journalArticle

Surface group representations and U(p, q)-Higgs bundles

Bradlow, S. B., García-Prada, O. & Gothen, P. B., Jan 1 2003, In : Journal of Differential Geometry. 64, 1, p. 111-170 60 p.

Research output: Contribution to journalArticle

2002

An application of coherent systems to a Brill-Noether problem

Bradlow, S. B. & García-Prada, O., 2002, In : Journal fur die Reine und Angewandte Mathematik. 551, p. 123-143 21 p.

Research output: Contribution to journalArticle

Extensions of Higgs bundles

Bradlow, S. B. & Gómez, T. L., Jun 1 2002, In : Illinois Journal of Mathematics. 46, 2, p. 587-625 39 p.

Research output: Contribution to journalArticle

2001

Représentations du groupe fondamental d'une surface dans PU(p,q) et triplets holomorphes

Translated title of the contribution: Representations of the fundamental group of a surface in PU(p,q) and holomorphic triplesBradlow, S. B., García-Prada, O. & Gothen, P. B., Aug 15 2001, In : Comptes Rendus de l'Academie des Sciences - Series I: Mathematics. 333, 4, p. 347-352 6 p.

Research output: Contribution to journalArticle

2000

The Hitchin-Kobayashi correspondence for twisted triples

Bradlow, S. B., Kamber, F. W. & Glazebrook, J. F., Jun 2000, In : International Journal of Mathematics. 11, 4, p. 493-508 16 p.

Research output: Contribution to journalArticle

1999

A Hitchin - Kobayashi correspondence for coherent systems on Riemann surfaces

Bradlow, S. B. & García-Prada, O., Aug 1999, In : Journal of the London Mathematical Society. 60, 1, p. 155-170 16 p.

Research output: Contribution to journalArticle

Reduction of the hermitian-einstein equation on kahlerian fiber bundles

Bradlow, S. B., Glazebrook, J. F. & Kamber, F. W., Jan 1 1999, In : Tohoku Mathematical Journal. 51, 1, p. 81-123 43 p.

Research output: Contribution to journalArticle

1997

A new look at the vortex equations and dimensional reduction

Bradlow, S., Glazebrook, J. & Kamber, F., 1997, Geometry, topology and physics (Campinas, 1996). de Gruyter, Berlin, p. 83-106 24 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Non-abelian monopoles and vortices

Bradlow, S. B. & Garci a-Prada, O., 1997, Geometry and physics (Aarhus, 1995). Dekker, New York, Vol. 184. p. 567-589 23 p. (Lecture Notes in Pure and Appl. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

1996

Birational equivalences of vortex moduli

Bradlow, S. B., Daskalopoulos, G. D. & Wentworth, R. A., Jul 1996, In : Topology. 35, 3, p. 731-748 18 p.

Research output: Contribution to journalArticle

Stable triples, equivariant bundles and dimensional reduction

Bradlow, S. B. & García-Prada, O., Feb 1996, In : Mathematische Annalen. 304, 1, p. 225-252 28 p.

Research output: Contribution to journalArticle

1995

Hermitian-Einstein inequalities and Harder-Narasimhan filtrations

Bradlow, S. B., 1995, In : International Journal of Mathematics. 6, 5, p. 645-656 12 p.

Research output: Contribution to journalArticle

Higher cohomology triples and holomorphic extensions

Bradlow, S. B. & Garci a-Prada, O., 1995, In : Communications in Analysis and Geometry. 3, 3-4, p. 421-463 43 p.

Research output: Contribution to journalArticle

Stable augmented bundles over Riemann surfaces

Bradlow, S., Daskalopoulos, G. D., Garci a-Prada, O. & Wentworth, R., 1995, Vector bundles in algebraic geometry (Durham, 1993). Cambridge Univ. Press, Cambridge, Vol. 208. p. 15-67 53 p. (London Math. Soc. Lecture Note Ser.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

1993

Moduli of stable pairs for holomorphic bundles over Riemann surfaces. II

Bradlow, S. & Daskalopoulos, G. D., 1993, In : International Journal of Mathematics. 4, 6, p. 903-925 23 p.

Research output: Contribution to journalArticle

Nonabelian vortices and a new Yang-Mills-Higgs energy

Bradlow, S. B., 1993, Differential geometry: geometry in mathematical physics and related topics (Los Angeles, CA, 1990). Amer. Math. Soc., Providence, RI, Vol. 54. p. 85-98 14 p. (Proc. Sympos. Pure Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

1991

Moduli of stable pairs for holomorphic bundles over Riemann surfaces

Bradlow, S. B. & Daskalopoulos, G. D., 1991, In : International Journal of Mathematics. 2, 5, p. 477-513 37 p.

Research output: Contribution to journalArticle

Special metrics and stability for holomorphic bundles with global sections

Bradlow, S. B., Jan 1991, In : Journal of Differential Geometry. 33, 1, p. 169-213 45 p.

Research output: Contribution to journalArticle

1990

Vortices in holomorphic line bundles over closed Kähler manifolds

Bradlow, S. B., Dec 1 1990, In : Communications in Mathematical Physics. 135, 1, p. 1-17 17 p.

Research output: Contribution to journalArticle