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1

Sewing Yang–Mills Measures and Moduli Spaces over Compact Surfaces

Claas Becker, Ambar Sengupta

Journal:

Journal of Functional Analysis

Year:

1998

Language:

english

File:

PDF, 445 KB

english, 1998

2

The Yang-Mills measure for S2

Journal:

Journal of Functional Analysis

Year:

1992

Language:

english

File:

PDF, 2.33 MB

english, 1992

3

The Segal–Bargmann Transform for Path-Groups

Brian C Hall, Ambar N Sengupta

Journal:

Journal of Functional Analysis

Year:

1998

Language:

english

File:

PDF, 504 KB

english, 1998

4

The Moduli Space of Flat Connections on Oriented Surfaces with Boundary

Ambar N. Sengupta

Journal:

Journal of Functional Analysis

Year:

2002

Language:

english

File:

PDF, 333 KB

english, 2002

5

The volume measure for flat connections as limit of the Yang–Mills measure

Ambar N. Sengupta

Journal:

Journal of Geometry and Physics

Year:

2003

Language:

english

File:

PDF, 234 KB

english, 2003

6

Yang-Mills on Surfaces with Boundary: Quantum Theory and Symplectic Limit

Journal:

Communications in Mathematical Physics

Year:

1997

Language:

english

File:

PDF, 510 KB

english, 1997

7

A Gaussian Radon transform for Banach spaces

Irina Holmes, Ambar N. Sengupta

Journal:

Journal of Functional Analysis

Year:

2012

Language:

english

File:

PDF, 189 KB

english, 2012

8

CONNECTIONS OVER TWO-DIMENSIONAL CELL COMPLEXES

SENGUPTA, AMBAR N.

Journal:

Reviews in Mathematical Physics

Year:

2004

Language:

english

File:

PDF, 229 KB

english, 2004

9

A support theorem for a Gaussian Radon transform in infinite dimensions

Becnel, Jeremy J., Sengupta, Ambar N.

Journal:

Transactions of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 265 KB

english, 2012

10

Gauge Invariant Functions of Connections

Journal:

Proceedings of the American Mathematical Society

Year:

1994

Language:

english

File:

PDF, 254 KB

english, 1994

11

The Gaussian Radon transform as a limit of spherical transforms

Sengupta, Ambar N.

Journal:

Journal of Functional Analysis

Year:

2016

Language:

english

File:

PDF, 1.14 MB

english, 2016

12

The semiclassical limit of the two‐dimensional quantum Yang–Mills model

King, Christopher, Sengupta, Ambar

Journal:

Journal of Mathematical Physics

Year:

1994

Language:

english

File:

PDF, 594 KB

english, 1994

13

The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis

Becnel, Jeremy, Sengupta, Ambar

Journal:

Year:

2015

Language:

english

File:

PDF, 335 KB

english, 2015

14

The chern-simons functional integral as an infinite-dimensional distribution

Sergio Albeverio, Ambar Sengupta

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1997

Language:

english

File:

PDF, 414 KB

english, 1997

15

An assessment of grindability index of coal

Ambar Nath Sengupta

Journal:

Fuel Processing Technology

Year:

2002

Language:

english

File:

PDF, 100 KB

english, 2002

16

The moduli space of flat SU (2) and SO (3) connections over surfaces

Journal:

Journal of Geometry and Physics

Year:

1998

Language:

english

File:

PDF, 2.74 MB

english, 1998

17

Sewing symplectic volumes for flat connections over compact surfaces

Journal:

Journal of Geometry and Physics

Year:

2000

Language:

english

File:

PDF, 1.47 MB

english, 2000

18

A new 2-form for connections on surfaces with boundary

Christopher King, Ambar Sengupta

Journal:

Letters in Mathematical Physics

Year:

1995

Language:

english

File:

PDF, 601 KB

english, 1995

19

A symplectic structure for connections on surfaces with boundary

Christopher King, Ambar Sengupta

Journal:

Communications in Mathematical Physics

Year:

1996

Language:

english

File:

PDF, 760 KB

english, 1996

20

The semiclassical limit forSU(2) andSO(3) gauge theory on the torus

Journal:

Communications in Mathematical Physics

Year:

1995

Language:

english

File:

PDF, 941 KB

english, 1995

21

The semiclassical limit for gauge theory onS2

Journal:

Communications in Mathematical Physics

Year:

1992

Language:

english

File:

PDF, 436 KB

english, 1992

22

A Mathematical Construction of the Non-Abelian Chern-Simons Functional Integral

Sergio Albeverio, Ambar Sengupta

Journal:

Communications in Mathematical Physics

Year:

1997

Language:

english

File:

PDF, 247 KB

english, 1997

23

Two dimensional Yang-Mills theory via stochastic differential equations

Leonard Gross, Christopher King, Ambar Sengupta

Journal:

Annals of Physics

Year:

1989

Language:

english

File:

PDF, 2.52 MB

english, 1989

24

Monopole charge quantization or why electromagnetism is a U(1)-gauge theory

Jeffrey Mitchell, Ambar N. Sengupta

Journal:

Annals of Physics

Year:

2004

Language:

english

File:

PDF, 307 KB

english, 2004

25

Quantum free Yang–Mills on the plane

Michael Anshelevich, Ambar N. Sengupta

Journal:

Journal of Geometry and Physics

Year:

2012

Language:

english

File:

PDF, 312 KB

english, 2012

26

Abstracts

Chatterjee, Saikat, Lahiri, Amitabha, Sengupta, Ambar N.

Journal:

Year:

1977

Language:

english

File:

PDF, 352 KB

english, 1977

27

Path space connections and categorical geometry

Chatterjee, Saikat, Lahiri, Amitabha, Sengupta, Ambar N.

Journal:

Journal of Geometry and Physics

Year:

2014

Language:

english

File:

PDF, 555 KB

english, 2014

28

A Yang–Mills Inequality for Compact Surfaces

Sengupta, Ambar

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

1998

Language:

english

File:

PDF, 511 KB

english, 1998

29

PARALLEL TRANSPORT OVER PATH SPACES

CHATTERJEE, SAIKAT, LAHIRI, AMITABHA, SENGUPTA, AMBAR N.

Journal:

Reviews in Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 315 KB

english, 2010

30

SEWING YANG–MILLS MEASURES FOR NON-TRIVIAL BUNDLES

SENGUPTA, AMBAR N.

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2003

Language:

english

File:

PDF, 202 KB

english, 2003

31

The Moduli Space of Yang–Mills Connections Over a Compact Surface

Sengupta, Ambar

Journal:

Reviews in Mathematical Physics

Year:

1997

Language:

english

File:

PDF, 656 KB

english, 1997

32

NEGATIVE FORMS AND PATH SPACE FORMS

CHATTERJEE, SAIKAT, LAHIRI, AMITABHA, SENGUPTA, AMBAR N.

Journal:

International Journal of Geometric Methods in Modern Physics

Year:

2008

Language:

english

File:

PDF, 197 KB

english, 2008

33

FINITE GEOMETRIES WITH QUBIT OPERATORS

SENGUPTA, AMBAR N.

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2009

Language:

english

File:

PDF, 165 KB

english, 2009

34

[AIP GEOMETRIC METHODS IN PHYSICS - Bialowieza (Poland) (29 June–5 July 2008)] AIP Conference Proceedings - The Large-N Yang-Mills Field on the plane and free noise

Sengupta, Ambar N., Kielanowski, Piotr, Odzijewicz, Anatol, Schlichenmaier, Martin, Voronov, Theodore

Year:

2008

Language:

english

File:

PDF, 443 KB

english, 2008

35

The Gaussian Radon transform and machine learning

Holmes, Irina, Sengupta, Ambar N.

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2015

Language:

english

File:

PDF, 994 KB

english, 2015

36

Twisted-product categorical bundles

Chatterjee, Saikat, Lahiri, Amitabha, Sengupta, Ambar N.

Journal:

Journal of Geometry and Physics

Year:

2015

Language:

english

File:

PDF, 517 KB

english, 2015

37

An Infinite-Dimensional Integral Identity for the Segal-Bargmann Transform

Jeremy J. Becnel and Ambar N. Sengupta

Journal:

Proceedings of the American Mathematical Society

Year:

2007

Language:

english

File:

PDF, 662 KB

english, 2007

38

Complex phase space and Weyl’s commutation relations

Albeverio, Sergio, Sengupta, Ambar N.

Journal:

Expositiones Mathematicae

Year:

2015

Language:

english

File:

PDF, 390 KB

english, 2015

39

[QP-PQ: Quantum Probability and White Noise Analysis] Infinite Dimensional Stochastic Analysis Volume 22 (In Honor of Hui-Hsiung Kuo) || WHITE NOISE ANALYSIS: BACKGROUND AND A RECENT APPLICATION

Sengupta, Ambar N, Sundar, P

Year:

2008

Language:

english

File:

PDF, 654 KB

english, 2008

40

SYMPLECTIC REDUCTION FOR YANG–MILLS ON A CYLINDER

SENGUPTA, AMBAR N.

Journal:

International Journal of Geometric Methods in Modern Physics

Year:

2004

Language:

english

File:

PDF, 167 KB

english, 2004

41

Connections on decorated path space bundles

Chatterjee, Saikat, Lahiri, Amitabha, Sengupta, Ambar N.

Journal:

Journal of Geometry and Physics

Year:

2017

Language:

english

File:

PDF, 629 KB

english, 2017

42

An explicit description of the symplectic structure of moduli spaces of flat connections

King, Christopher, Sengupta, Ambar

Journal:

Journal of Mathematical Physics

Year:

1994

Language:

english

File:

PDF, 1.13 MB

english, 1994

43

A Morphism Double Category and Monoidal Structure

Chatterjee, Saikat, Lahiri, Amitabha, Sengupta, Ambar N.

Journal:

Year:

2013

Language:

english

File:

PDF, 2.80 MB

english, 2013

44

The Gaussian Limit for High-Dimensional Spherical Means

Peterson, Amy, Sengupta, Ambar N.

Journal:

Journal of Functional Analysis

Year:

2018

Language:

english

File:

PDF, 872 KB

english, 2018

45

Nuclear Space Facts, Strange and Plain

Becnel, Jeremy, Sengupta, Ambar

Journal:

Year:

2016

Language:

english

File:

PDF, 293 KB

english, 2016

46

Gauge transformations for categorical bundles

Chatterjee, Saikat, Lahiri, Amitabha, Sengupta, Ambar N.

Journal:

Journal of Geometry and Physics

Year:

2018

Language:

english

File:

PDF, 578 KB

english, 2018

47

Polynomials and high-dimensional spheres

Peterson, Amy, Sengupta, Ambar N.

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2019

Language:

english

File:

PDF, 838 KB

english, 2019

48

Polynomials and high-dimensional spheres

Peterson, Amy, Sengupta, Ambar N.

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2019

File:

PDF, 838 KB

2019