Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Instantons

Sortuj według:

Ogranicz wyniki do:

Moduli of symplectic instanton vector bundles of higher rank on projective space ℙ3

100%

Bruzzo U., Markushevich D., Tikhomirov A.

Open Mathematics

2012

tom 10

nr 4

1232-1245

Symplectic instanton vector bundles on the projective space ℙ3 constitute a natural generalization of mathematical instantons of rank-2. We study the moduli space I n;r of rank-2r symplectic instanton vector bundles on ℙ3 with r ≥ 2 and second Chern class n ≥ r, n ≡ r (mod 2). We introduce the notion of tame symplectic instantons by excluding a kind of pathological monads and show that the locus I n;r* of tame symplectic instantons is irreducible and has the expected dimension, equal to 4n(r + 1) −r(2r + 1).

Symplectic structures on moduli spaces of framed sheaves on surfaces

88%

Sala F.

Open Mathematics

2012

tom 10

nr 4

1455-1471

We provide generalizations of the notions of Atiyah class and Kodaira-Spencer map to the case of framed sheaves. Moreover, we construct closed two-forms on the moduli spaces of framed sheaves on surfaces. As an application, we define a symplectic structure on the moduli spaces of framed sheaves on some birationally ruled surfaces.

Bubble tree compactification of moduli spaces of vector bundles on surfaces

63%

Markushevich D., Tikhomirov A., Trautmann G.

Open Mathematics

2012

tom 10

nr 4

1331-1355

We announce some results on compactifying moduli spaces of rank 2 vector bundles on surfaces by spaces of vector bundles on trees of surfaces. This is thought as an algebraic counterpart of the so-called bubbling of vector bundles and connections in differential geometry. The new moduli spaces are algebraic spaces arising as quotients by group actions according to a result of Kollár. As an example, the compactification of the space of stable rank 2 vector bundles with Chern classes c 1 = 0, c 1 = 2 on the projective plane is studied in more detail. Proofs are only indicated and will appear in separate papers.

Ograniczanie wyników

3 Open Mathematics

2 Markushevich D.

2 Tikhomirov A.

1 Bruzzo U.

1 Sala F.

1 Trautmann G.

3 2012

Wyniki wyszukiwania

Moduli of symplectic instanton vector bundles of higher rank on projective space ℙ3

Symplectic structures on moduli spaces of framed sheaves on surfaces

Bubble tree compactification of moduli spaces of vector bundles on surfaces