Area of Study for Four dimensional Space [closed]

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I wanted to know which area in Mathematics involves study of objects in 4d, geometry and other parameters in 4d space; that involves more of imagining objects in 4d ? As of now, I am aware of Topology, Abstract Algebra, Measure theory, Differential Equations and Linear Algebra stuff. What course can I choose next for moving on to research in 4d spaces ?




differential-geometry differential-topology low-dimensional-topology 4-manifolds




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closed as too broad by Andres Mejia, Yuri Vyatkin, Anubhav Mukherjee, John Ma, Lord Shark the Unknown Aug 2 at 5:26


Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.


















    up vote
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    down vote

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    I wanted to know which area in Mathematics involves study of objects in 4d, geometry and other parameters in 4d space; that involves more of imagining objects in 4d ? As of now, I am aware of Topology, Abstract Algebra, Measure theory, Differential Equations and Linear Algebra stuff. What course can I choose next for moving on to research in 4d spaces ?




    differential-geometry differential-topology low-dimensional-topology 4-manifolds




    share|cite|improve this question











    closed as too broad by Andres Mejia, Yuri Vyatkin, Anubhav Mukherjee, John Ma, Lord Shark the Unknown Aug 2 at 5:26


    Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
















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      up vote
      0
      down vote

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      I wanted to know which area in Mathematics involves study of objects in 4d, geometry and other parameters in 4d space; that involves more of imagining objects in 4d ? As of now, I am aware of Topology, Abstract Algebra, Measure theory, Differential Equations and Linear Algebra stuff. What course can I choose next for moving on to research in 4d spaces ?




      differential-geometry differential-topology low-dimensional-topology 4-manifolds




      share|cite|improve this question











      I wanted to know which area in Mathematics involves study of objects in 4d, geometry and other parameters in 4d space; that involves more of imagining objects in 4d ? As of now, I am aware of Topology, Abstract Algebra, Measure theory, Differential Equations and Linear Algebra stuff. What course can I choose next for moving on to research in 4d spaces ?





      differential-geometry differential-topology low-dimensional-topology 4-manifolds





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      asked Jul 30 at 6:08









      user579315

      163




      163




      closed as too broad by Andres Mejia, Yuri Vyatkin, Anubhav Mukherjee, John Ma, Lord Shark the Unknown Aug 2 at 5:26


      Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.






      closed as too broad by Andres Mejia, Yuri Vyatkin, Anubhav Mukherjee, John Ma, Lord Shark the Unknown Aug 2 at 5:26


      Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.






















          1 Answer
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          Take a walk through the book The Geometry of Four Manifolds of S.K. Donaldson and P.B. Kronheimer from 1990 which requires a firm knowledge on differential topology.






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          • Okay. Does 4 dimensional study comes in differential topology ?
            – user579315
            Aug 1 at 5:32










          • differential topology is employ to develop 4-manifolds knowledge
            – janmarqz
            Aug 1 at 16:08

















          1 Answer
          1






          active

          oldest

          votes








          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes








          up vote
          0
          down vote



          accepted










          Take a walk through the book The Geometry of Four Manifolds of S.K. Donaldson and P.B. Kronheimer from 1990 which requires a firm knowledge on differential topology.






          share|cite|improve this answer





















          • Okay. Does 4 dimensional study comes in differential topology ?
            – user579315
            Aug 1 at 5:32










          • differential topology is employ to develop 4-manifolds knowledge
            – janmarqz
            Aug 1 at 16:08














          up vote
          0
          down vote



          accepted










          Take a walk through the book The Geometry of Four Manifolds of S.K. Donaldson and P.B. Kronheimer from 1990 which requires a firm knowledge on differential topology.






          share|cite|improve this answer





















          • Okay. Does 4 dimensional study comes in differential topology ?
            – user579315
            Aug 1 at 5:32










          • differential topology is employ to develop 4-manifolds knowledge
            – janmarqz
            Aug 1 at 16:08












          up vote
          0
          down vote



          accepted







          up vote
          0
          down vote



          accepted






          Take a walk through the book The Geometry of Four Manifolds of S.K. Donaldson and P.B. Kronheimer from 1990 which requires a firm knowledge on differential topology.






          share|cite|improve this answer













          Take a walk through the book The Geometry of Four Manifolds of S.K. Donaldson and P.B. Kronheimer from 1990 which requires a firm knowledge on differential topology.







          share|cite|improve this answer













          share|cite|improve this answer



          share|cite|improve this answer











          answered Jul 31 at 3:35









          janmarqz

          6,02941629




          6,02941629











          • Okay. Does 4 dimensional study comes in differential topology ?
            – user579315
            Aug 1 at 5:32










          • differential topology is employ to develop 4-manifolds knowledge
            – janmarqz
            Aug 1 at 16:08
















          • Okay. Does 4 dimensional study comes in differential topology ?
            – user579315
            Aug 1 at 5:32










          • differential topology is employ to develop 4-manifolds knowledge
            – janmarqz
            Aug 1 at 16:08















          Okay. Does 4 dimensional study comes in differential topology ?
          – user579315
          Aug 1 at 5:32




          Okay. Does 4 dimensional study comes in differential topology ?
          – user579315
          Aug 1 at 5:32












          differential topology is employ to develop 4-manifolds knowledge
          – janmarqz
          Aug 1 at 16:08




          differential topology is employ to develop 4-manifolds knowledge
          – janmarqz
          Aug 1 at 16:08


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