Instantons on Conic 4-manifolds: Fredholm Theory

نویسندگان

  • Weiping Li
  • Shuguang Wang
  • WEIPING LI
  • SHUGUANG WANG
چکیده

We study the self-duality operator on conic 4-manifolds. The self-duality operator can be identified as a regular singular operator in the sense of Brüning and Seeley, based on which we construct its parametrizations and closed extensions. We also compute the indexes.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Instantons and scattering in N = 4 SYM in 4

We study classical solutions (ic–instantons) in N = 4 SYM in 4D which, in the strong coupling limit, correspond to complex two–dimensional manifolds. Asymptotically in time the latter have boundaries represented by compact real three–manifolds. Therefore they lend themselves to an interpretation in terms of 3–brane scattering. We suggest that these solutions may represent scattering of D3–brane...

متن کامل

The ADHM Construction and Anselmi’s Topological Anomalies

We examine the anomalies arising in instanton calculus as detailed by Damiano Anslemi in 1994. Whereas Anselmi uses BRST theory, we use the ADHM construction to arrive at the same conclusions from a differentialgeometric way. We observe that Anselmi’s TQFT is similar to Donaldson Theory applied to charge 1 instantons on the 4-sphere,although the latter is really only used for 4-manifolds with b...

متن کامل

Fredholm realizations of elliptic symbols on manifolds with boundary II: fibered boundary Citation Albin, Pierre and Richard Melrose. "Fredholm realizations of elliptic symbols on manifolds with boundary II: fibered boundary." in Motives, quantum field theory, and pseudodifferential operators

We consider two calculi of pseudodifferential operators on manifolds with fibered boundary: Mazzeo’s edge calculus, which has as local model the operators associated to products of closed manifolds with asymptotically hyperbolic spaces, and the φ calculus of Mazzeo and the second author, which is similarly modeled on products of closed manifolds with asymptotically Euclidean spaces. We construc...

متن کامل

Intersection theory of coassociative submanifolds in G2-manifolds and Seiberg-Witten invariants

We study the problem of counting instantons with coassociative boundary condition in (almost) G2-manifolds. This is analog to the open GromovWitten theory for counting holomorphic curves with Lagrangian boundary condition in Calabi-Yau manifolds. We explain its relationship with the Seiberg-Witten invariants for coassociative submanifolds. Intersection theory of Lagrangian submanifolds is an es...

متن کامل

Instantons and Quaternions

We relate the moduli space of Yang-Mills instantons to quaternionic manifolds. For instanton number one, the Wolf spaces play an important role. We apply these ideas to instanton calculations in N = 4 SYM theory. Instantons in Yang-Mills theories are defined by the solutions to the self-duality equation in four-dimensional Euclidean space, Fμν = Fμν = 1 2ǫμνρσFρσ , (1) and are characterized by ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007